Let’s look at a simple application of Faraday\'s law. In (Figure 1) , the magnet

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Question

Let’s look at a simple application of Faraday's law. In (Figure 1) , the magnetic field in the region between the poles of the electromagnet is uniform at any time but is increasing at the rate of 0.020T/s. The area of the conducting loop in the field is 120 cm2 , and the total circuit resistance, including the meter, is 5.0 . Find the magnitudes of the induced emf and the induced current in the circuit.

a)Suppose we change the apparatus so that the magnetic field increases at a rate of 0.13 T/s , the area of the conducting loop in the field is 0.020 m2 , and the total circuit resistance is 8.9 . Find the magnitude of the induced emf.

A = 120 cm2-0012m2 = 120cm-0012 &B;/M = 0.020T/s Total resistance in circuit and meter-5.0

Explanation / Answer

Given,

(dB/dt) = 0.020 T/s

Area, A = 120 x 10-4 m2

Resistance, R = 5 ohm

magnetic flux is:

= A x B

The induced emf, E = (d)/ dt

E = (A x dB)/dt = A x (dB/dt) = (120 x 10-4)( 0.020) = 2.4 x 10-4 V

The induced current, I = E / R = 0.00024 /5 = 4.8 x 10-5 A

(a) magnetic flux, = A x B

The induced emf, E= A x (dB/dt)

E = (0.020) x ( 0.13) = 2.6 mV

(b) The induced current, I = E / R = 0.0026 / 8.9 = 0.29 mA

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Let’s look at a simple application of Faraday\'s law. In (Figure 1) , the magnet

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Let’s look at a simple application of Faraday\'s law. In (Figure 1) , the magnet

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