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Answer :
Final answer:
The potential difference across the resistance in an LR circuit, with a source voltage of 220 volts and an inductance voltage of 176 volts, is calculated using the Pythagorean theorem to be 132 volts. None of the options are correct.
Explanation:
To find the potential difference across the resistance in the LR circuit, we need to understand that the voltage across the resistor (VR) and the voltage across the inductor (VL) are orthogonal to each other in the context of AC circuits.
This means that the total voltage from the source (VS) is the vector sum of VR and VL.
Given that the voltage across the inductance is 176 volts, and the total voltage from the source is 220 volts, we find VR using the Pythagorean theorem.
VS2 = VR2 + VL2
2202 = VR2 + 1762
VR = √(2202 - 1762) = √(48400 - 30976) V
VR = √(17424) V = 132 V
Therefore, the potential difference across the resistance is 132 volts.
None of the options are correct.
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