KCET · Physics · Alternating Current
In a circuit containing a pure resistor connected to an AC source,
- A Voltage leads the current by \(90^\circ\)
- B Current leads the voltage by \(90^\circ\)
- C Voltage and current are in same phase with each other
- D Current leads the voltage by \(180^\circ\)
Answer & Solution
Correct Answer
(C) Voltage and current are in same phase with each other
Step-by-step Solution
Detailed explanation
In a purely resistive AC circuit, the alternating voltage is given by \(V = V_0 \sin(\omega t)\).
According to Ohm's law, the current through the resistor is \(I = \dfrac{V}{R} = \dfrac{V_0}{R} \sin(\omega t) = I_0 \sin(\omega t)\).
Comparing the expressions for voltage and current, the phase angle for both is \(\omega t\). Thus, the phase difference between them is zero.
Therefore, voltage and current are in the same phase with each other.
Answer: Voltage and current are in same phase with each other
According to Ohm's law, the current through the resistor is \(I = \dfrac{V}{R} = \dfrac{V_0}{R} \sin(\omega t) = I_0 \sin(\omega t)\).
Comparing the expressions for voltage and current, the phase angle for both is \(\omega t\). Thus, the phase difference between them is zero.
Therefore, voltage and current are in the same phase with each other.
Answer: Voltage and current are in same phase with each other
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