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JEE Main
Exam
JEE Main
Subject
Physics
Chapter
Capacitance

JEE Main · Physics · Capacitance

In the following figure C_1=5 μ F , C_2=C_3=10 μ F and =20 ~V ....

In the following figure C1=5μFC_1=5 \mu \mathrm{F}, C2=C3=10μFC_2=C_3=10 \mu \mathrm{F} and ε=20 V\varepsilon=20 \mathrm{~V}. Initially the switch SS is connected to point AA until capacitor C1C_1 is fully charged. Afterwards switch is thrown to left side and connected to point BB. The charge on capacitor C3C_3 after equilibrium is reached will be In the following figure C_1=5 μ F , C_2=C_3=10 μ F and =20 ~V . Initially the switch S is connected to point A until

Options

  1. A40μC40 \mu \mathrm{C}
  2. B100μC100 \mu \mathrm{C}
  3. C50μC50 \mu \mathrm{C}
  4. D20μC20 \mu \mathrm{C}

Correct answer

A. 40μC40 \mu \mathrm{C}

Step-by-step solution

Given that, C1=5μF,C2=C3=10μFC_1=5 \mu \mathrm{F}, C_2=C_3=10 \mu \mathrm{F} and E=20 VE=20 \mathrm{~V} When the switch is connected to point AA. Then, situation of the circuit is shown below. In the following figure C_1=5 μ F , C_2=C_3=10 μ F and =20 ~V . Initially the switch S is connected to point A until
Charge stored in C1C_1, Q=C_1 V_1=C_1 E=5 ×\times20 \mu C=\mathrm{C}=100 \mu C\mathrm{C}When switch is connect to point BB, then situation circuit is shown below.In the following figure C_1=5 μ F , C_2=C_3=10 μ F and =20 ~V . Initially the switch S is connected to point A until
The charge Q1Q_1 will start to distribute through, C2C_2 and C3C_3 to make the potential difference VV across all the three capacitors C1,C2C_1, C_2 and C3C_3. Now, common potential difference, V= Total charge  Total capacity =C1V1+C2V2+C3V3C1+C2+C3\frac{\text { Total charge }}{\text { Total capacity }}=\frac{C_1 V_1+C_2 V_2+C_3 V_3}{C_1+C_2+C_3}where, V1=20 VV_1=20 \mathrm{~V}, but V2=V3=0 VV_2=V_3=0 \mathrm{~V} \therefore \quad V=1005+10+10=10025=\frac{100}{5+10+10}=\frac{100}{25}=4  V\mathrm{~V}Now, charge on C3,q3=C3VC_3, q_3=C_3 V=10×4μC=40μC\begin{aligned}& =10 \times4 \mu \mathrm{C}\\ & =40 \mu \mathrm{C} \end{aligned}$$
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