Question:medium
The electric current in the circuit is given as
\[
i=i_0\left(\frac{t}{T}\right).
\]
The r.m.s. current for the period \( t=0 \) to \( t=T \) is:
The electric current in the circuit is given as
\[
i=i_0\left(\frac{t}{T}\right).
\]
The r.m.s. current for the period \( t=0 \) to \( t=T \) is:
Show Hint
For linearly varying currents, always square the function first before integrating for r.m.s. values.
Updated On: Feb 24, 2026
- \( i_0 \)
- \( \dfrac{i_0}{\sqrt6} \)
- \( \dfrac{i_0}{\sqrt2} \)
- \( \dfrac{i_0}{\sqrt3} \)
Show Solution
The Correct Option is D
Solution and Explanation
Was this answer helpful?
0
Top Questions on Alternating current
- In an a.c. circuit, voltage and current are given by: \[ V = 100 \sin(100t) \, \text{V} \quad \text{and} \quad I = 100 \sin\left(100t + \frac{\pi}{3}\right) \, \text{mA}. \] The average power dissipated in one cycle is:
- MHT CET - 2024
- Physics
- Alternating current
- A series LCR circuit is subjected to an AC signal of \( 200 \, \text{V}, 50 \, \text{Hz} \). If the voltage across the inductor (\( L = 10 \, \text{mH} \)) is \( 31.4 \, \text{V} \), then the current in this circuit is:
- MHT CET - 2024
- Physics
- Alternating current
- Given the voltage equation \( V = 100 \sqrt{2} \sin(\omega t) \) and capacitance \( C = 2 \, \mu \text{F} \), calculate the RMS current.
- MHT CET - 2025
- Physics
- Alternating current
- An AC voltage \( V = 50\sqrt{2} \sin(100t) \) is applied across a capacitor of capacitance \( C = 1 \mu F \). What is the rms value of the current through the capacitor?
- MHT CET - 2025
- Physics
- Alternating current
- Want to practice more? Try solving extra ecology questions todayView All Questions
