A 750Hz, 20 V(rms) source is connected to a resistance of 100Ω, an...

The AC circuit is shown below.

Here,$R = 100, {X}_{L} = L\omega = 0 . 1803 \times 750 \times 2\pi = 850Ω$

The capacitive reactance ${X}_{c} = \dfrac{1}{C \omega} = \dfrac{1}{{10}^{- 5} \times 2\pi \times 750} = 21 . 23Ω$

Total impedance $Z = \sqrt{{R}^{2} + {\left({X}_{L} - {X}_{C}\right)}^{2}}$

$= \sqrt{{100}^{2} + {\left(850 - 21 . 23\right)}^{2}} = 834 . 77 \approx 835$

The heat loss $H = {i}_{rms}^{2}Rt = \left(ms\right) ∆ t$

$\dfrac{20}{835} \times \dfrac{20}{835} \times 100t = \left(2\right) \times 10$

$t = 348 . 61sec$