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madman (239)

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a source of emf 10V having negligeble internal resistance is connected to a resistor,the resistance of which varies at a uniform rat of 1 ohm/sec.if the resistance varies from 20ohm to 40ohm in 20sec,then the total charge flown in this time interval is?

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nishantsingh89 (985)

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Resistance at time 't' is given as

R=R1 + xt             { R1=20 ohms, x rate of change of resistance=1}

R=R1 + t
V=iR

V/R= dq/dt
dq/dt= V/R1+t

[0 ][q ] dq = V[0 ][20 ] dt/R1+t

q = V{ln(R1+20/R1)
q= 10 ln(40/20)
q=10ln2


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madman (239)

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nice going !

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