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R.m.s. or peak current from a given e.m.f. and resistance or power

This type of question, asked 3 times: 11 May 2024 S2, 13 May 2024 S2, 19 May 2026 S2. All 3 questions below, oldest first.

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  1. Question 1

    11 May 2024 S2

    24
    The a.c. source of e.m.f. with instantaneous value 'e' is given by e=200sin⁡(50t)e = 200\sin(50t) volt. The r.m.s value of current in a circuit of resistance 50 Ω50\,\Omega is

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  2. Question 2

    13 May 2024 S2

    10
    A group of lamps having total power rating of 1000 W is supplied by an AC voltage of E=200sin⁡(310t+60∘)E=200\sin(310t+60^\circ), the r.m.s. value of current flowing through the circuit is

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  3. Question 3

    19 May 2026 S2

    139
    The output of step-down transformer is measured to be 3636 V when connected to 66 W light bulb. The value of peak current is

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