![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/97ce857f831a3025b6d25059ce9889ac.jpeg)
315-Πρόβλημα5.67–Ηλεκτρομαγνητισμός(Λύσησεμιαπαραλλαγή) Γενικό Λύκειο Νυδριού Λευκάδος Γουρζής Στάθης - Φυσικός ΥΣΕΦΕ 2022 - 2023
d
Το τετράγωνο συρμάτινο πλαίσιο
του σχήματος έχει πλευρά l=0,25 m
και αντίσταση ανά μονάδα μήκους
R*=1Ω/m.
Το πλαίσιο μπαίνει με σταθερή ταχύτητα υ=0,05m/s σε
ομογενές μαγνητικό πεδίο που έχει ένταση Β=0,4Τ και εύρος
d=40cm με το επίπεδό του κάθετο στις δυναμικές γραμμές.
Να γίνει γραφική παράσταση των παρακάτω μεγεθών σε
συνάρτηση με το χρόνο.
α) Μαγνητική ροή που διέρχεται από το πλαίσιο.
β) Ηλεκτρεγερτική δύναμη που δημιουργείται στο πλαίσιο.
γ) Ρεύμα που διαρρέει το πλαίσιο.
δ) Τάση ανάμεσα στα σημεία Κ και Λ.
ε) Δύναμη Laplace που δέχεται το πλαίσιο
2 ΠΡΟΒ: 5.67
3 0 0 ( )s t ( ) Wb d α) Μαγνητική ροή που διέρχεται από το πλαίσιο.
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/0e9eb1b958998c8336adf63e61ce11cd.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/ece52ca8be1e29d429be1e0848fad8bd.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/6639e6d8113d5a88d4389b466be2a733.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/6639e6d8113d5a88d4389b466be2a733.jpeg)
4 0 ( )s t ( ) Wb d l=0,25m d=0,4m R*=1Ω/m υ=0,05m/s Β=0,4Τ 5 α) Μαγνητική ροή που διέρχεται από το πλαίσιο.
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/0e9eb1b958998c8336adf63e61ce11cd.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/ece52ca8be1e29d429be1e0848fad8bd.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/6639e6d8113d5a88d4389b466be2a733.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/6639e6d8113d5a88d4389b466be2a733.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/6631b64bd90059b7ca4c232449ac7172.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/e5698279aab501e132354afda387ae51.jpeg)
5 0 0 ( )s t ( ) Wb d l=0,25m d=0,4m R*=1Ω/m υ=0,05m/s Β=0,4Τ α) Μαγνητική ροή που διέρχεται από το πλαίσιο. 5 8
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/0e9eb1b958998c8336adf63e61ce11cd.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/ece52ca8be1e29d429be1e0848fad8bd.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/6639e6d8113d5a88d4389b466be2a733.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/6639e6d8113d5a88d4389b466be2a733.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/6631b64bd90059b7ca4c232449ac7172.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/e5698279aab501e132354afda387ae51.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/8027d49ae9633912bf568854de263e18.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/855805651408cc2c952ed35e2e30884b.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/dfe5bd970b2dda06d40808390ecbcfe1.jpeg)
6 0 0 ( )s t ( ) Wb d l=0,25m d=0,4m R*=1Ω/m υ=0,05m/s Β=0,4Τ α) Μαγνητική ροή που διέρχεται από το πλαίσιο. 5 8 13
7 0 0 ( )s t ( ) Wb d l=0,25m d=0,4m R*=1Ω/m υ=0,05m/s Β=0,4Τ 0 ( )s t ( ) N x FL 3 10 ( ) mV ( ) mV V ( )mA I ( )s t ( )s t ( )s t 0 0 0
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/ece52ca8be1e29d429be1e0848fad8bd.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/6639e6d8113d5a88d4389b466be2a733.jpeg)
8 0 0 ( )s t ( ) Wb d l=0,25m d=0,4m R*=1Ω/m υ=0,05m/s Β=0,4Τ 0 ( )s t ( ) N x FL 3 10 ( ) mV ( ) mV V ( )mA I ( )s t ( )s t ( )s t 0 0 0 5 5
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/3150964bd0b7a6b329f772edea50754b.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/ece52ca8be1e29d429be1e0848fad8bd.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/6639e6d8113d5a88d4389b466be2a733.jpeg)
9 0 0 ( )s t ( ) Wb d l=0,25m d=0,4m R*=1Ω/m υ=0,05m/s Β=0,4Τ 0 ( )s t ( ) N x FL 3 10 ( ) mV ( ) mV V ( )mA I ( )s t ( )s t ( )s t 0 0 0 5 5
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/3150964bd0b7a6b329f772edea50754b.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/63760db91d105810ff322e32e2f838aa.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/ece52ca8be1e29d429be1e0848fad8bd.jpeg)
10 0 0 ( )s t ( ) Wb d l=0,25m d=0,4m R*=1Ω/m υ=0,05m/s Β=0,4Τ 0 ( )s t ( ) N x FL 3 10 ( ) mV ( ) mV V ( )mA I ( )s t ( )s t ( )s t 0 0 0 5 5 5
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/3150964bd0b7a6b329f772edea50754b.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/63760db91d105810ff322e32e2f838aa.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/ece52ca8be1e29d429be1e0848fad8bd.jpeg)
11 0 0 ( )s t ( ) Wb d l=0,25m d=0,4m R*=1Ω/m υ=0,05m/s Β=0,4Τ 0 ( )s t ( ) N x FL 3 10 ( ) mV ( ) mV V ( )mA I ( )s t ( )s t ( )s t 0 0 0 5 5 5 3,75
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/3150964bd0b7a6b329f772edea50754b.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/63760db91d105810ff322e32e2f838aa.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/9873a0e8e2a07de1c5c317fa38cd2818.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/ece52ca8be1e29d429be1e0848fad8bd.jpeg)
12 0 0 ( )s t ( ) Wb d l=0,25m d=0,4m R*=1Ω/m υ=0,05m/s Β=0,4Τ 0 ( )s t ( ) N x FL 3 10 ( ) mV ( ) mV V ( )mA I ( )s t ( )s t ( )s t 0 0 0 5 5 5 3,75 0,5
13 0 0 ( )s t ( ) Wb d l=0,25m d=0,4m R*=1Ω/m υ=0,05m/s Β=0,4Τ 0 ( )s t ( ) N x FL 3 10 ( ) mV ( ) mV V ( )mA I ( )s t ( )s t ( )s t 0 0 0 5 5 5 3,75 0,5 8
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/333c6e03c6fa43fe2aa004b8d936342e.jpeg)
14 0 0 ( )s t ( ) Wb d l=0,25m d=0,4m R*=1Ω/m υ=0,05m/s Β=0,4Τ 0 ( )s t ( ) N x FL 3 10 ( ) mV ( ) mV V ( )mA I ( )s t ( )s t ( )s t 0 0 0 5 5 3,75 0,5 8 5
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/333c6e03c6fa43fe2aa004b8d936342e.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/81ba43379cc86ef7d5e592d8ded30ab1.jpeg)
15 0 0 ( )s t ( ) Wb d l=0,25m d=0,4m R*=1Ω/m υ=0,05m/s Β=0,4Τ 0 ( )s t ( ) N x FL 3 10 ( ) mV ( ) mV V ( )mA I ( )s t ( )s t ( )s t 0 0 0 5 5 5 3,75 0,5 8 5
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/333c6e03c6fa43fe2aa004b8d936342e.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/81ba43379cc86ef7d5e592d8ded30ab1.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/8ca6ad5a45e4821360b7c198ad434113.jpeg)
16 0 0 ( )s t ( ) Wb d l=0,25m d=0,4m R*=1Ω/m υ=0,05m/s Β=0,4Τ 0 ( )s t ( ) N x FL 3 10 ( ) mV ( ) mV V ( )mA I ( )s t ( )s t ( )s t 0 0 0 5 5 5 3,75 0,5 8 5
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/333c6e03c6fa43fe2aa004b8d936342e.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/81ba43379cc86ef7d5e592d8ded30ab1.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/e6fa852471776db8251244d8846606cd.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/8ca6ad5a45e4821360b7c198ad434113.jpeg)
17 0 0 ( )s t ( ) Wb d l=0,25m d=0,4m R*=1Ω/m υ=0,05m/s Β=0,4Τ 0 ( )s t ( ) N x FL 3 10 ( ) mV ( ) mV V ( )mA I ( )s t ( )s t ( )s t 0 0 0 5 5 5 3,75 0,5 8 5
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/c628d738420e81c992e733a5a2031019.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/5db5c02f15def71d85c0d87e9070fba1.jpeg)
18 0 0 ( )s t ( ) Wb d l=0,25m d=0,4m R*=1Ω/m υ=0,05m/s Β=0,4Τ 0 ( )s t ( ) N x FL 3 10 ( ) mV ( ) mV V ( )mA I ( )s t ( )s t ( )s t 0 0 0 5 5 5 3,75 0,5 8 5 13
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/c628d738420e81c992e733a5a2031019.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/5db5c02f15def71d85c0d87e9070fba1.jpeg)
19 0 0 ( )s t ( ) Wb d l=0,25m d=0,4m R*=1Ω/m υ=0,05m/s Β=0,4Τ 0 ( )s t ( ) N x FL 3 10 ( ) mV ( ) mV V ( )mA I ( )s t ( )s t ( )s t 0 0 0 5 5 5 3,75 0,5 8 5 13
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/c628d738420e81c992e733a5a2031019.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/5db5c02f15def71d85c0d87e9070fba1.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/182314444168130051a5adb7c2dd70b5.jpeg)
20 0 0 ( )s t ( ) Wb d l=0,25m d=0,4m R*=1Ω/m υ=0,05m/s Β=0,4Τ 0 ( )s t ( ) N x FL 3 10 ( ) mV ( ) mV V ( )mA I ( )s t ( )s t ( )s t 0 0 0 5 5 5 3,75 0,5 8 5 13
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/c628d738420e81c992e733a5a2031019.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/5db5c02f15def71d85c0d87e9070fba1.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/182314444168130051a5adb7c2dd70b5.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/8f1f17fd949ab1d76cffb33d2ecc8298.jpeg)
21 0 0 ( )s t ( ) Wb d l=0,25m d=0,4m R*=1Ω/m υ=0,05m/s Β=0,4Τ 0 ( )s t ( ) N x FL 3 10 ( ) mV ( ) mV V ( )mA I ( )s t ( )s t ( )s t 0 0 0 5 5 5 3,75 0,5 8 5 13 1,25
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/c628d738420e81c992e733a5a2031019.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/5db5c02f15def71d85c0d87e9070fba1.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/182314444168130051a5adb7c2dd70b5.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/8f1f17fd949ab1d76cffb33d2ecc8298.jpeg)
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/76b5b00bb54509d26872446bff561456.jpeg)
22 0 0 ( )s t ( ) Wb d l=0,25m d=0,4m R*=1Ω/m υ=0,05m/s Β=0,4Τ 0 ( )s t ( ) N x FL 3 10 ( ) mV ( ) mV V ( )mA I ( )s t ( )s t ( )s t 0 0 0 5 5 5 3,75 0,5 8 5 13 1,25
![](https://assets.isu.pub/document-structure/230311075605-a8644c635ead7c69fa65a6e2cafd2823/v1/f04f9ee9f94b7279733394efb1fbdd78.jpeg)