Question:
An alternating voltage \(V=200\sqrt{2}\sin (100t)\) volt is connected to a \(1\) \(\mu\)F capacitor through an a.c. ammeter. The reading of the ammeter will be
An alternating voltage \(V=200\sqrt{2}\sin (100t)\) volt is connected to a \(1\) \(\mu\)F capacitor through an a.c. ammeter. The reading of the ammeter will be
Show Hint
An a.c. ammeter reads the r.m.s. current, which is the r.m.s. voltage divided by the capacitive reactance.
Updated On: Nov 12, 2026
- \(10\) mA
- \(20\) mA
- \(40\) mA
- \(80\) mA
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Understanding the Concept
A capacitor offers a reactance \(X_C=\dfrac{1}{\omega C}\) to alternating current.
An a.c. ammeter reads the r.m.s. value of the current.
Step 2: Find the r.m.s. voltage
The peak voltage is \(V_0=200\sqrt{2}\) V, so \(V_{rms}=\dfrac{V_0}{\sqrt{2}}=200\) V.
The angular frequency is \(\omega=100\) rad/s.
Step 3: Calculation
\(X_C=\dfrac{1}{100\times 10^{-6}}=10^{4}\,\Omega\)
\(I_{rms}=\dfrac{V_{rms}}{X_C}=\dfrac{200}{10^{4}}=0.02\) A \(=20\) mA
Step 4: Compare the options
The value 20 mA matches the second option.
Final Answer:
The ammeter reads 20 mA. \[ \boxed{\text{(B) }20\text{ mA}} \]
A capacitor offers a reactance \(X_C=\dfrac{1}{\omega C}\) to alternating current.
An a.c. ammeter reads the r.m.s. value of the current.
Step 2: Find the r.m.s. voltage
The peak voltage is \(V_0=200\sqrt{2}\) V, so \(V_{rms}=\dfrac{V_0}{\sqrt{2}}=200\) V.
The angular frequency is \(\omega=100\) rad/s.
Step 3: Calculation
\(X_C=\dfrac{1}{100\times 10^{-6}}=10^{4}\,\Omega\)
\(I_{rms}=\dfrac{V_{rms}}{X_C}=\dfrac{200}{10^{4}}=0.02\) A \(=20\) mA
Step 4: Compare the options
The value 20 mA matches the second option.
Final Answer:
The ammeter reads 20 mA. \[ \boxed{\text{(B) }20\text{ mA}} \]
Was this answer helpful?
0
0
Top MHT CET Physics Questions
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- A particle moves along a circle of radius ?$r$? with constant tangential acceleration. If the velocity of the particle is ?$?$? at the end of second revolution, after the revolution has started then the tangential acceleration is
- If $M_z$ = magnetization of a paramagnetic sample, $B$ = external magnetic field, $T$ = absolute temperature, $C$ = curie constant then according to Curie�s law in magnetism, the correct relation is
- In a fundamental mode, the time required for the sound wave to reach upto the closed end of a pipe filled with air is $'t'$ second. The frequency of vibration of air column is
- In a parallel plate capacitor, the capacity increases if
View More Questions
Top MHT CET AC Circuits Questions
- An AC circuit has a resistance of 150 \(\Omega\), inductive reactance of 250 \(\Omega\), and capacitive reactance of 100 \(\Omega\). What is the phase difference between current and voltage?
- A series LCR circuit has \( R = 200 \, \Omega \), \( L = 663 \, \text{mH} \), and \( C = 265 \, \mu\text{F} \). The applied alternating voltage has an amplitude of 50 V and a frequency of 60 Hz so that \( X_L = 250 \, \Omega \) and \( X_C = 100 \, \Omega \). The peak current is
- In an LCR circuit the inductance is changed from \( L \) to \( 9L \). For the same resonant frequency, the capacitance should be changed from \( C \) to
- Two wires A and B are stretched by the same load. The radius of wire A is double the radius of wire B. The stress on the wire B as compared to the stress on the wire A is
- In communication system, a repeater is used to extend the range of transmission. It is the combination of
View More Questions
Top MHT CET Questions
- During r- DNA technology, which one of the following enzymes is used for cleaving DNA molecule ?
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- The temperature of $32^{\circ}C$ is equivalent to
- The line $5x + y - 1 = 0$ coincides with one of the lines given by $5x^2 + xy - kx - 2y + 2 = 0 $ then the value of k is
- The heat of formation of water is $ 260\, kJ $ . How much $ H_2O $ is decomposed by $ 130\, kJ $ of heat ?
View More Questions