Q. 16
Consider a capaci A. Q1 > Q2, t1 > t2 B. Q1 > Q2, t1 < t2
C. Q1 < Q2, t1 > t2 D. Q1 < Q2, t1 < t2
Answer :
Formula used :
Charge of a capacitor is given by
Charge of a capacitor,
Where
ε is the emf of a battery
C is the capacitance
R is the resistance of a resistor which is in series
T is the time period
charge developed on the capacitor in first interval of 10ms is
charge developed on the capacitor in first interval of 20ms is
Charge developed on the capacitor in the interval 10ms to 20ms is
Compare with
(Here )
The time taking for 10μC to developed on the plates of capacitor is
The time taking for 10μC to developed on the plates of capacitor
Divide (1) by (2)
Take log on both sides
Q1 is the charge developed on the capacitor in a time interval of 10 ms and Q2 is the charge developed on the capacitor in the next time interval of 10ms. If a10μC charge be deposited in a time interval t1 and the next 10 μC charge is deposited in the next time interval t2. Then Q1 > Q2, t1 < t2. So option B is correct.
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