Question

A Series R-C circuit takes a power of 7000W when
connected to a 200V, 50Hz supply. The
voltage across the resistor is 130 V.
Calculate
i) Resistance
ii) Current

Answer 1

Answer:

I) Resistance

Explanation:

A series R circuit takes a p

Answer 2

(a) Resistance = 0.414 ohms

(b) Current = 53.85 Ampere

Let,

P = Power = 7000 Watt

R = Resistance

Vr = Voltage across resistor

Vc = Voltage across Capacitor

V = Supply Voltage

I = Current

Electrical Power across resistor = V²R

∴ P = Vr²R

∴ 7000 = 130² R

∴ R = 0.414 ohm

∴ R = 414 mOhm

Current (I) = Vr × R

∴ I = 130 × 0.41

∴ I = 53.85 Amp