Basic Electrical and Electronics Engineering: Unit I: Electrical Circuits

Phase Relation in Pure Resistor

Circuit, Waveform, Formula with Solved Example Problems | Electrical AC Circuits

When a sinusoidal voltage is applied to a resistor, a certain amount of sine wave current passes through it. The voltage/current relation in case of resistor is linear.

PHASE RELATION IN PURE RESISTOR

When a sinusoidal voltage is applied to a resistor, a certain amount of sine wave current passes through it. The voltage/current relation in case of resistor is linear.

V(t) = i(t).R

i(t) = Im sin ωt =

V(t) = Vm sin ωt = 

The impedance


There is no phase difference between these two wave forms.

Example: 9

A voltage V = 100 sin 100πt is applied to a circuit containing of a pure resistor of 20 Ω. Find the following.

(i) Maximum voltage

(ii) Frequency of supply

(iii) Instantaneous current

V = 100sin 100 π.t

V = Vm sin ωt

Vm = π 100

ω = π100

2πf = π100

f = π100/2π

f = 50 Hz

i = V/R

= 100 sin100 π t / 20

i = 5 sin100 π t

Basic Electrical and Electronics Engineering: Unit I: Electrical Circuits : Tag: : Circuit, Waveform, Formula with Solved Example Problems | Electrical AC Circuits - Phase Relation in Pure Resistor