Question

With sinusoidal-steady-state excitation, for a purely resistive circuit, the voltage and current phasors are

(a) In phase

(b) Perpendicular with each other with $\mathbf{V}$ leading $\mathbf{I}$

(c) Perpendicular with each other with $\mathbf{I}$ leading $\mathbf{V}$

Short answer

Answer

Therefore the correct option is (a): In phase

Step-by-step solution

Use theory of AC circuit for pure resistive load

For a pure resistive load, the current into the load is in phase with the voltage across the load.

Thus the correct option is (a).

Explanation for option (b)

For load to be purely inductive the current lag the voltage by 90 degree. Thus the (b) is incorrect option.

Explanation for option (c)

For purely capacitive load the current leads the voltage by an angle of 90 degrees.

Thus the (c) is incorrect option.