In a RC series circuit, the voltage across the capacitor increases linearly under which of the following conditions?
In a RC series circuit, the voltage across the capacitor increases linearly under which of the following conditions?
Right Answer is:
Current drawn from the charging source is constant
SOLUTION
In an RC series circuit, the voltage across the capacitor increases linearly under the condition that the current drawn from the charging source is constant.
Constant Current: When a constant current flows into the capacitor, the charge (Q) on the capacitor increases linearly over time, as expressed by the equation:
Q = I⋅t
where I is the constant current and t is time.
Capacitor Voltage: The voltage (V) across a capacitor is directly proportional to the charge stored on it, given by:
V=Q/C
where C is the capacitance of the capacitor.
Linear Increase: Since the charge Q increases linearly with time when current is constant, the voltage V across the capacitor also increases linearly:
V=I⋅t/C