Question

plz answer this question :- A resistor of 200 ohm and a capacitor of 15 micro F are connected in series to a 220V, 50 Hz a.c. source . Calculate the current in the circuit and the r.m.s. voltage across the resistor and capacitor.

Answer 1

Given, Resistance , R = 200Ω ,
Emf , ξ₀ = 220V
frequency , f = 50Hz
we know, ξ = ξ₀sinωt
we also know, ω = 2πf = 2π × 50 = 100π
Now, ξ = 220sin(100π)t -------(1)

Resistance of capacitor , Xc = 1/ωC
Here, C is the capacitance of capacitor e.g., C = 15μF = 1.5 × 10⁻⁵ F
so, Xc = 1/{(100π) × 1.5 × 10⁻⁵} = 212.31 Ω

Now, impedance , Z = $\sqrt{R^2+X_C^2}$
Here R = 200Ω , Xc = 212.31Ω
so, Z = $\sqrt{200^2+(212.31)^2}$ = 291.67Ω
So, I = ξ/Z = 220sin(100π)t/291.67 = 0.75sin(100π)t
Hence, Irms = 0.75A
Now, voltage across the resistor = Irms × R = 0.75 × 200 = 150V
voltage across the capacitor = Irms × Xc = 0.75 × 212.31 = 159.23V

Answer 2

Answer:

151 voltage across resistor and capacitor