Problem 3 A coil of 100 loops of wire 15 em in diameter carries 500 mA of curren

Question

Problem 3 A coil of 100 loops of wire 15 em in diameter carries 500 mA of current. What is the maximum torque a 325 mT field can exert on this loop? Problem 4 A long solenoid consists of 10k loops of wire, is scem in diameter, and is 10 cam in length. A current of 250 mA is passed through the wire. What is the field strength in the center of this solenoid? Problem 5 A 100 mT magnetic field passes through a 10 cm diameter coil of 500 loops. The field strength is reduced to 10 mT over 250 ms. what is the MF generted in the coil?

Explanation / Answer

3. maximum torque = N I A B

= 100 x 0.500 x (pi 0.075^2)(0.325)

= 0.287 N m  

4. B = u0 n I = u0 (N / L) I

B = (4pi x 10^-7) (10000/0.10)(0.250)

B = 0.0314 T  

5. emf = N A dB/dt

= (500)(pi 0.05^2) (0.100 - 0.010)/(0.250)

= 1.41 Volt

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