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Chapter 4: Q6E (page 981)

A coil 4.00 cm in radius, containing 500 turns, is placed in a uniform magnetic field that varies with time according toB=(0.0120T/s)t+(3.0×10-5T/s4)t4. The coil is connected to a 600Ω resistor, and its plane is perpendicular to the magnetic field. You can ignore the resistance of the coil. (a) Find the magnitude of the induced emf in the coil as a function of time. (b) What is the current in the resistor at time t = 5.00 s?

Short Answer

Expert verified
  1. The magnitude of the induced emf in the coil is
  2. Current in the resistor is

Step by step solution

01

Magnitude of induced emf

The magnitude of the induced emf is:

|ε|=NdΦBdt;

Here radius r=4.00cm, N=500turns, and perpendicular to the magnetic field B;

As,, Area A is constant;

02

Calculation

On putting the values;

Hence, the magnitude of the induced emf in the coil is

03

Current in the resistor

As given the induced emf at t=5.00s,

As resistance R = 600Ω

So, the current I is:

Hence, the current in the resistor is

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