Q22.A resistance R and a capacitance C are connected in series to a battery of negligible internal resistance through a key. The key is closed at t = 0 . If after t sec the voltage across the capacitance was seven times the voltage across R, the value of t is (1) 3RCℓn2 (2) 2RCℓn2 (3) 2RC ln 7 (4) 3RCℓn7
What This Question Tests
This problem involves an RC circuit and requires setting up expressions for the time-dependent voltage across the capacitor and the resistor during charging, then solving for the time 't' when the capacitor voltage is seven times the resistor voltage.
Concepts Tested
Formulas Used
V_C(t) = E(1 - e^(-t/RC))
V_R(t) = E * e^(-t/RC)
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📋 Question Details
- Chapter
- Current Electricity
- Topic
- RC circuits
- Year
- 2012
- Shift
- 12 May Online
- Q Number
- Q22
- Type
- MCQ
- NCERT Ref
- Class 12 Physics Ch 3: Current Electricity
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