Question:
Three capacitors each of capacitance ' C ' and breakdown voltage ' $V$ ' are connected in series. The capacitance and breakdown voltage of the series combination will be respectively
Three capacitors each of capacitance ' C ' and breakdown voltage ' $V$ ' are connected in series. The capacitance and breakdown voltage of the series combination will be respectively
Show Hint
For \(n\) identical capacitors in series:
\[
C_{\text{eq}}=\frac{C}{n}
\]
and total breakdown voltage becomes \(nV\).
Updated On: May 14, 2026
- $3C, 3V$
- $\frac{C}{3}, \frac{V}{3}$
- $3C, \frac{V}{3}$
- $\frac{C}{3}, 3V$
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Concept:
For three identical capacitors in series: \[ \frac{1}{C_{\text{eq}}}=\frac{1}{C}+\frac{1}{C}+\frac{1}{C} \] Also, in series combination, voltage divides equally for identical capacitors, so total safe voltage becomes the sum of individual breakdown voltages. ip
Step 1: Find equivalent capacitance.
\[ \frac{1}{C_{\text{eq}}}=\frac{3}{C} \] \[ C_{\text{eq}}=\frac{C}{3} \] ip
Step 2: Find breakdown voltage of the combination.
Each capacitor can tolerate maximum voltage \(V\). In series, total safe voltage is: \[ V+V+V=3V \] ip Hence, the correct answer is:
\[ \boxed{(D)\ \frac{C}{3},\ 3V} \]
For three identical capacitors in series: \[ \frac{1}{C_{\text{eq}}}=\frac{1}{C}+\frac{1}{C}+\frac{1}{C} \] Also, in series combination, voltage divides equally for identical capacitors, so total safe voltage becomes the sum of individual breakdown voltages. ip
Step 1: Find equivalent capacitance.
\[ \frac{1}{C_{\text{eq}}}=\frac{3}{C} \] \[ C_{\text{eq}}=\frac{C}{3} \] ip
Step 2: Find breakdown voltage of the combination.
Each capacitor can tolerate maximum voltage \(V\). In series, total safe voltage is: \[ V+V+V=3V \] ip Hence, the correct answer is:
\[ \boxed{(D)\ \frac{C}{3},\ 3V} \]
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 Capacitors in Parallel and in Series Questions
In a parallel bridge circuit involving capacitors, the circuit's resultant capacitance is to be determined. If the capacitance values are given, calculate the resultant capacitance in the parallel combination. Assume the capacitors have the following capacitance values:
\( C_1 = 2 \, \mu\text{F} \)
\( C_2 = 3 \, \mu\text{F} \)
\( C_3 = 4 \, \mu\text{F} \)The capacitors are connected in parallel.
- The resultant capacity between points A and B in the given circuit is
- In the arrangement of the capacitors as shown in figure, each capacitor is of $6\ \mu\text{F}$, then equivalent capacity between points A and B is
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