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JEE Main 202315 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
15 April
Shift
Morning Shift
Subject
Physics
Chapter
Capacitance

JEE Main 2023 · 15 April · Morning Shift · Physics · Capacitance

In the given figure the total charge stored in the combination of...

In the given figure the total charge stored in the combination of capacitors is 100µC100 µ C. The value of ‘xx’ is ______________.

In the given figure the total charge stored in the combination of capacitors is 100 µ C . The value of ‘ x

Correct answer

0

Step-by-step solution

All the capacitors are in parallel combination and therefore potential drop across each capacitor would be the same.

Charge on the capacitor can be written as, Q=CVQ = CV.

The charge on C1{C}_{1} is Q1=2×10=20μC{Q}_{1} = 2 \times 10 = 20\mu C

The charge on C2{C}_{2} is Q2=x×10=10xμC{Q}_{2} = x \times 10 = 10x\mu C

The charge on C3{C}_{3} is Q3=3×10=30μC{Q}_{3} = 3 \times 10 = 30\mu C

By the given data.

C1+C2+C3=100μC{C}_{1} + {C}_{2} + {C}_{3} = 100\mu C

⇒10(2+x+3)=100⇒ 10\left(2 + x + 3\right) = 100

⇒x=5⇒ x = 5

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