Question
Medium
Solving time: 5 mins
(a) Obtain an expression for the mutual inductance between a long straight wire and a square loop of side a as shown in Fig. 6.21. (b) Now assume that the straight wire carries a current of 50 A and the loop is moved to the right with a constant velocity, v = 10 m/s. Calculate the induced emf in the loop at the instant when x = 0.2 m. Take a = 0.1 m and assume that the loop has a large resistance.
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Text solutionVerified
Take a small element in the loop at a distance from the long straight wire.
Magnetic flux associated with element, is
Where, is Area of element
is magnetic field at .
is current in the wire.
Mutual Inductance
Emf induced in the loop,
From the given values,
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Question Text | (a) Obtain an expression for the mutual inductance between a long straight wire and a square loop of side a as shown in Fig. 6.21. (b) Now assume that the straight wire carries a current of 50 A and the loop is moved to the right with a constant velocity, v = 10 m/s. Calculate the induced emf in the loop at the instant when x = 0.2 m. Take a = 0.1 m and assume that the loop has a large resistance. |
Topic | Electromagnetic Induction |
Subject | Physics |
Class | Class 12 |
Answer Type | Text solution:1 |
Upvotes | 72 |