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**Introductory Exercise 24.1**

**Ques 1: Figure shows a conducting loop placed near a long straight wire carrying a current i as shown. If the current increases continuously, find the direction of the induced current in the loop.Sol:** magnetic field passing through loop is increasing. Hence induced current will produce magnetic field. So, induced current should be anti-clockwise.

Sol:

Sol:

= [ML

**Introductory Exercise 24.2**

**Ques 1: A triangular loop is placed in a dot magnetic field as shown in figure. Find the direction of induced current in the loop if magnetic field is increasing.Sol: ** is increasing. Hence is produced by the induced current. So, it is clockwise.

Sol:

Î”Î¦ = 0 â‡’ emf = 0 â‡’ i = 0

Sol:

**Introductory Exercise 24.3**

**Ques 1: A loop of wire enclosing an area S is placed in a region where the magnetic field is perpendicular to the plane. The magnetic field varies wit h time according to the expression B = B _{0}e^{-at} where a is so me constant. That is, at t = 0. The field is B_{0} and for t > 0, the field decreases exponentially. Find the induced emf in the loop as a function of time.**

Sol:

Sol:

Side of square = 1.36 m Total length of wire = 50 (4 Ã— 1.36) = 272 m

(a) Calculate the emf induced in the bar.

(b) Which point a or b is at higher potential?

(c) If the bar is replaced by a rectangular wire loop of resistance R, what is the magnitude of current induced in the loop?

Sol:

(b) Magnetic field due to current i over the wire ab is inwards. Velocity of wire ab is towards right. Applying right hand rule we can see that a point is at higher potential.

(c) Net change in flux through the loop abcd is zero.

Hence induced emf is zero. So, induced current is zero.

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