CBSE Class 12-science Answered
please answer
Asked by arup.isro | 25 Jun, 2019, 11:26: PM
Expert Answer
Potential difference Vt at time t across capacitor of capacitance C discharging throuh resistance R , Vt = V0 e-t/RC .........(1)
where V0 is initial voltage across capacitor
Potential difference after 1 sec, V1 = V0 e-1/RC or 40 = 50 e-1/RC .........................(2)
Potential difference after 2 sec, V2 = V0 e-2/RC or V2 = 50 e-2/RC .........................(3)
using eqn.(3), we rewrite eqn.(3) as , V2 = 50×(40/50)×(40/50) = 32 V ...........................(4)
Energy stored in capacitor = (1/2) C V2 ...................(5)
as seen from eqn.(5), Energy stored in a given capacitor is directly proportional to Voltage across the capacitor plates.
Hence fraction of energy stored after 1 second = (40×40) / (50×50) = 16/25
Hence only statements (A) and (B) are correct .
Answered by Thiyagarajan K | 26 Jun, 2019, 01:07: PM
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