Question

A small ac generator of 100 V (rms) is connected to a resistive load of 1 kW. The values of resistance and current are
1) 1 Ω and 10 A respectively
2) 10 Ω and 10 A respectively
3) 10 Ω and 1 A respectively
4) 1 Ω and 1 A respectively

Answer 1

$p = \frac{ {v}^{2} }{r} = {i}^{2} \times r$
$r = \frac{ {v}^{2} }{p} = \frac{10000}{1000} = 10 \: ohm$
$i = \frac{v}{r} = \frac{100}{10} = 10 \: amp \: rms$

Hence 2)