A capacitor of capacitance C is connected to an AC source of constant peak voltage V_m but variable angular frequency . Which of the following correctly describes the graph of the peak displacement current ( I_d ) between the capacitor plates versus the angular frequency ( )?

Step-by-step solution

The peak displacement current between the plates of a capacitor is equal to the peak conduction current in the connecting wires. I_d = V_m X_C Since the capacitive reactance is X_C = 1 C , substituting this gives: I_d = V_m ( C) For a constant peak voltage V_m and constant capacitance C , the peak displacement current is directly proportional to the angular frequency ( I_d ). Therefore, the graph of I_d versus is a straight line passing through the origin. A rectangular hyperbola would represent the variation of X_