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The primary coil of a certain transformer has an inductance of 2.54 H and a resi

ID: 2282669 • Letter: T

Question

The primary coil of a certain transformer has

an inductance of 2.54 H and a resistance of

40.3 ?.

If the primary coil is connected to an ac

source with a frequency of 70 Hz and a voltage

of 122 V rms, what is the rms current through

the primary?

Answer in units of A.

(part B)

If the primary is connected to 116 V dc, what

is the current through the primary? Disregard

initial effects.

Answer in units of A.

(part C)

In case 1, find the power dissipated in the

resistance.

Answer in units of W.

(part D)

In case 2, find the power dissipated in the

resistance.

Answer in units of W

Explanation / Answer

Given L = 2.54H

resistance R = 40.3 ohms

f = 70 hz

V rms= 122v

Part A) Irms = Vrms / R= 122 / 40.3 = 3.027A

Part B) I = V/ R = 116 / 40.3= 2.87 A

Part C) power dissipated P = I2R = 3.0272 * 40.3 = 369.2 W

Part D) power dissipated in case 2 P = I2R = 2.872 * 40.3 = 331.9 W

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