Q180 / 200 · MHT CET - Medical 2026 (21 April Shift 1) · Physics
The r.m.s value of current in a 50 Hz A.C. circuit is 10 A. The average value of A.C. current over a cycle is
- Correct answerAZero
- B10 A
- C7.072 A
- D14.14 A
Solution
The average value of a sinusoidal alternating current over a complete cycle is given by the integral of the current over one time period divided by the time period.
$I_{avg} = \dfrac{1}{T} \int_{0}^{T} I_{0} \sin(\omega t) dt$
Since the area under the positive half-cycle is equal and opposite to the area under the negative half-cycle, the integral evaluates to zero.
$I_{avg} = 0$
The given values of r.m.s current and frequency are not required for this calculation.
Answer: Zero
$I_{avg} = \dfrac{1}{T} \int_{0}^{T} I_{0} \sin(\omega t) dt$
Since the area under the positive half-cycle is equal and opposite to the area under the negative half-cycle, the integral evaluates to zero.
$I_{avg} = 0$
The given values of r.m.s current and frequency are not required for this calculation.
Answer: Zero
Hence, the correct answer is option: 'A'.