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5. A square coil, enclosing an area with sides 3.0 cm long, is wrapped with 2500

ID: 2304784 • Letter: 5

Question

5. A square coil, enclosing an area with sides 3.0 cm long, is wrapped with 2500 turns of wire. A uniform magnetic field perpendicular to its plane is turned on and increases to 0.12 T during an interval of 1.0 s. What average voltage is induced in the coil?

6. If the induced current in a wire loop were such that the flux it produces were in the same direction as the change in external flux causing the current, which of the following conservation laws would end up being violated? An example of a reactance question Given two of the following: a reactance (of either an inductor or a capacitor), a generator frequency (either in hertz or radians per second), either inductance or capacitance (depending on the problem), find the third.

7. In an AC series circuit the inductive reactance is 43.0 ? and the frequency is 192 Hz. What is the inductance in the circuit?

8. The peak voltage of an AC source is 400 V. What is the rms voltage? An example of a resonance question Given a sufficient number of the following: rms emf, rms potentials across the capacitor, resistor, and inductor, generator frequency (in either hertz or radians per second), reactance (of both or either the capacitor and inductor), rms current, resistance, inductance, capacitance, and resonant frequency, find the other relevant quantities for an RLC circuit in resonance.

Explanation / Answer

5. e = d(flux)/dt

e = N A dB/dt

e = (2500) (0.03^2) (0.12)/1 = 0.27 Volt

6. it will violate conservation of energy/


7. XL = 2 pi f L

43 = 2 x pi x 192 x L

L = 0.0356 H  


8. Vrms = Vpeak / sqrt(2) = 400 / sqrt(2)

Vrms = 283 Volt ......Ans

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