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P and Q are two points on a uniform ring of resistance R. The equivalent resistance between P and Q is

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Solution :Resistance of SECTION PSQ
`R_(1)=(R )/(2pir).r theta=(R theta)/(2PI)`
Resistance of section PTQ

`R_(2)=(RR(2pi-theta))/(2pir)rArr (R(2pi-theta))/(2pi)`
As `R_(1) and R_(2)` are in parallel
`"So, "R_("eq")=(R_(1)R_(2))/(R_(1)+R_(2))=(Rtheta(2pi-theta))/(4pi^(2))`


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