Combination of Capacitor
Capacitance

165814 In the given circuit, if the potential difference between $A$ and $B$ is $80 \mathrm{~V}$, then the equivalent capacitance between $A$ and $B$, and the charge on $10 \mu \mathrm{F}$ capacitor respectively, are

1 $4 \mu \mathrm{F} \& 133 \mu \mathrm{C}$
2 $164 \mu \mathrm{F} \& 150 \mu \mathrm{C}$
3 $15 \mu \mathrm{F} \& 200 \mu \mathrm{C}$
4 $4 \mu \mathrm{F} \& 50 \mu \mathrm{C}$
Capacitance

165815 Three capacitors of capacitances $C_{1}=2 \mu F, C_{2}=$ $3 \mu \mathrm{F}$ and $C_{3}=5 \mu \mathrm{F}$ are connected in series. $A$ potential difference of $155 \mathrm{~V}$ is applied across the combination. Choose the correct option.

1 Least potential difference is across $\mathrm{C}_{3}$.
Equivalent capacitance of combination is $\left(\frac{30}{31}\right) \mu \mathrm{F}$ and the voltage across $\mathrm{C}_{1}$ is $75 \mathrm{~V}$.
2 Least potential difference is across $\mathrm{C}_{1}$.
Equivalent capacitance of combination is $\left(\frac{30}{51}\right) \mu \mathrm{F}$ and the voltage across $\mathrm{C}_{2}$ is $50 \mathrm{~V}$.
3 Least potential difference is across $\mathrm{C}_{1}$.
Equivalent capacitance of combination is $\left(\frac{30}{31}\right) \mu \mathrm{F}$ and the voltage across $\mathrm{C}_{3}$ is $30 \mathrm{~V}$.
4 Least potential difference is across $\mathrm{C}_{2}$.
Equivalent capacitance of combination is $\left(\frac{30}{31}\right) \mu \mathrm{F}$ and the voltage across $\mathrm{C}_{1}$ is $50 \mathrm{~V}$.
Capacitance

165817 Assertion: If three capacitors of capacitances $\mathrm{C}_{1}<$ $\mathrm{C}_{2}<\mathrm{C}_{3}$ are connected in parallel then their equivalent capacitance $\mathrm{Cp}>\mathrm{Cs}$.
Reason: $\frac{1}{\mathrm{C}_{\mathrm{p}}}=\frac{1}{\mathrm{C}_{1}}+\frac{1}{\mathrm{C}_{2}}+\frac{1}{\mathrm{C}_{3}}$

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but the Reason is not a correct explanation of the Assertion. (c) If both the Assertion is correct but Reason is incorrect.
3 (d.) If both the Assertion and Reason are incorrect.
4 If the Assertion is incorrect but the Reason is correct.
Capacitance

165818 For the circuit shown in the figure the charge on $2 \mu \mathrm{F}$ capacitor is

1 $15 \mu \mathrm{C}$
2 $20 \mu \mathrm{C}$
3 $30 \mu \mathrm{C}$
4 $45 \mu \mathrm{C}$
Capacitance

165814 In the given circuit, if the potential difference between $A$ and $B$ is $80 \mathrm{~V}$, then the equivalent capacitance between $A$ and $B$, and the charge on $10 \mu \mathrm{F}$ capacitor respectively, are

1 $4 \mu \mathrm{F} \& 133 \mu \mathrm{C}$
2 $164 \mu \mathrm{F} \& 150 \mu \mathrm{C}$
3 $15 \mu \mathrm{F} \& 200 \mu \mathrm{C}$
4 $4 \mu \mathrm{F} \& 50 \mu \mathrm{C}$
Capacitance

165815 Three capacitors of capacitances $C_{1}=2 \mu F, C_{2}=$ $3 \mu \mathrm{F}$ and $C_{3}=5 \mu \mathrm{F}$ are connected in series. $A$ potential difference of $155 \mathrm{~V}$ is applied across the combination. Choose the correct option.

1 Least potential difference is across $\mathrm{C}_{3}$.
Equivalent capacitance of combination is $\left(\frac{30}{31}\right) \mu \mathrm{F}$ and the voltage across $\mathrm{C}_{1}$ is $75 \mathrm{~V}$.
2 Least potential difference is across $\mathrm{C}_{1}$.
Equivalent capacitance of combination is $\left(\frac{30}{51}\right) \mu \mathrm{F}$ and the voltage across $\mathrm{C}_{2}$ is $50 \mathrm{~V}$.
3 Least potential difference is across $\mathrm{C}_{1}$.
Equivalent capacitance of combination is $\left(\frac{30}{31}\right) \mu \mathrm{F}$ and the voltage across $\mathrm{C}_{3}$ is $30 \mathrm{~V}$.
4 Least potential difference is across $\mathrm{C}_{2}$.
Equivalent capacitance of combination is $\left(\frac{30}{31}\right) \mu \mathrm{F}$ and the voltage across $\mathrm{C}_{1}$ is $50 \mathrm{~V}$.
Capacitance

165817 Assertion: If three capacitors of capacitances $\mathrm{C}_{1}<$ $\mathrm{C}_{2}<\mathrm{C}_{3}$ are connected in parallel then their equivalent capacitance $\mathrm{Cp}>\mathrm{Cs}$.
Reason: $\frac{1}{\mathrm{C}_{\mathrm{p}}}=\frac{1}{\mathrm{C}_{1}}+\frac{1}{\mathrm{C}_{2}}+\frac{1}{\mathrm{C}_{3}}$

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but the Reason is not a correct explanation of the Assertion. (c) If both the Assertion is correct but Reason is incorrect.
3 (d.) If both the Assertion and Reason are incorrect.
4 If the Assertion is incorrect but the Reason is correct.
Capacitance

165818 For the circuit shown in the figure the charge on $2 \mu \mathrm{F}$ capacitor is

1 $15 \mu \mathrm{C}$
2 $20 \mu \mathrm{C}$
3 $30 \mu \mathrm{C}$
4 $45 \mu \mathrm{C}$
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Capacitance

165814 In the given circuit, if the potential difference between $A$ and $B$ is $80 \mathrm{~V}$, then the equivalent capacitance between $A$ and $B$, and the charge on $10 \mu \mathrm{F}$ capacitor respectively, are

1 $4 \mu \mathrm{F} \& 133 \mu \mathrm{C}$
2 $164 \mu \mathrm{F} \& 150 \mu \mathrm{C}$
3 $15 \mu \mathrm{F} \& 200 \mu \mathrm{C}$
4 $4 \mu \mathrm{F} \& 50 \mu \mathrm{C}$
Capacitance

165815 Three capacitors of capacitances $C_{1}=2 \mu F, C_{2}=$ $3 \mu \mathrm{F}$ and $C_{3}=5 \mu \mathrm{F}$ are connected in series. $A$ potential difference of $155 \mathrm{~V}$ is applied across the combination. Choose the correct option.

1 Least potential difference is across $\mathrm{C}_{3}$.
Equivalent capacitance of combination is $\left(\frac{30}{31}\right) \mu \mathrm{F}$ and the voltage across $\mathrm{C}_{1}$ is $75 \mathrm{~V}$.
2 Least potential difference is across $\mathrm{C}_{1}$.
Equivalent capacitance of combination is $\left(\frac{30}{51}\right) \mu \mathrm{F}$ and the voltage across $\mathrm{C}_{2}$ is $50 \mathrm{~V}$.
3 Least potential difference is across $\mathrm{C}_{1}$.
Equivalent capacitance of combination is $\left(\frac{30}{31}\right) \mu \mathrm{F}$ and the voltage across $\mathrm{C}_{3}$ is $30 \mathrm{~V}$.
4 Least potential difference is across $\mathrm{C}_{2}$.
Equivalent capacitance of combination is $\left(\frac{30}{31}\right) \mu \mathrm{F}$ and the voltage across $\mathrm{C}_{1}$ is $50 \mathrm{~V}$.
Capacitance

165817 Assertion: If three capacitors of capacitances $\mathrm{C}_{1}<$ $\mathrm{C}_{2}<\mathrm{C}_{3}$ are connected in parallel then their equivalent capacitance $\mathrm{Cp}>\mathrm{Cs}$.
Reason: $\frac{1}{\mathrm{C}_{\mathrm{p}}}=\frac{1}{\mathrm{C}_{1}}+\frac{1}{\mathrm{C}_{2}}+\frac{1}{\mathrm{C}_{3}}$

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but the Reason is not a correct explanation of the Assertion. (c) If both the Assertion is correct but Reason is incorrect.
3 (d.) If both the Assertion and Reason are incorrect.
4 If the Assertion is incorrect but the Reason is correct.
Capacitance

165818 For the circuit shown in the figure the charge on $2 \mu \mathrm{F}$ capacitor is

1 $15 \mu \mathrm{C}$
2 $20 \mu \mathrm{C}$
3 $30 \mu \mathrm{C}$
4 $45 \mu \mathrm{C}$
Capacitance

165814 In the given circuit, if the potential difference between $A$ and $B$ is $80 \mathrm{~V}$, then the equivalent capacitance between $A$ and $B$, and the charge on $10 \mu \mathrm{F}$ capacitor respectively, are

1 $4 \mu \mathrm{F} \& 133 \mu \mathrm{C}$
2 $164 \mu \mathrm{F} \& 150 \mu \mathrm{C}$
3 $15 \mu \mathrm{F} \& 200 \mu \mathrm{C}$
4 $4 \mu \mathrm{F} \& 50 \mu \mathrm{C}$
Capacitance

165815 Three capacitors of capacitances $C_{1}=2 \mu F, C_{2}=$ $3 \mu \mathrm{F}$ and $C_{3}=5 \mu \mathrm{F}$ are connected in series. $A$ potential difference of $155 \mathrm{~V}$ is applied across the combination. Choose the correct option.

1 Least potential difference is across $\mathrm{C}_{3}$.
Equivalent capacitance of combination is $\left(\frac{30}{31}\right) \mu \mathrm{F}$ and the voltage across $\mathrm{C}_{1}$ is $75 \mathrm{~V}$.
2 Least potential difference is across $\mathrm{C}_{1}$.
Equivalent capacitance of combination is $\left(\frac{30}{51}\right) \mu \mathrm{F}$ and the voltage across $\mathrm{C}_{2}$ is $50 \mathrm{~V}$.
3 Least potential difference is across $\mathrm{C}_{1}$.
Equivalent capacitance of combination is $\left(\frac{30}{31}\right) \mu \mathrm{F}$ and the voltage across $\mathrm{C}_{3}$ is $30 \mathrm{~V}$.
4 Least potential difference is across $\mathrm{C}_{2}$.
Equivalent capacitance of combination is $\left(\frac{30}{31}\right) \mu \mathrm{F}$ and the voltage across $\mathrm{C}_{1}$ is $50 \mathrm{~V}$.
Capacitance

165817 Assertion: If three capacitors of capacitances $\mathrm{C}_{1}<$ $\mathrm{C}_{2}<\mathrm{C}_{3}$ are connected in parallel then their equivalent capacitance $\mathrm{Cp}>\mathrm{Cs}$.
Reason: $\frac{1}{\mathrm{C}_{\mathrm{p}}}=\frac{1}{\mathrm{C}_{1}}+\frac{1}{\mathrm{C}_{2}}+\frac{1}{\mathrm{C}_{3}}$

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but the Reason is not a correct explanation of the Assertion. (c) If both the Assertion is correct but Reason is incorrect.
3 (d.) If both the Assertion and Reason are incorrect.
4 If the Assertion is incorrect but the Reason is correct.
Capacitance

165818 For the circuit shown in the figure the charge on $2 \mu \mathrm{F}$ capacitor is

1 $15 \mu \mathrm{C}$
2 $20 \mu \mathrm{C}$
3 $30 \mu \mathrm{C}$
4 $45 \mu \mathrm{C}$