MasteringPhysics: Hw-0M xAc In The Circuit ln The Fi x https://session mastering

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MasteringPhysics: Hw-0M xAc In The Circuit ln The Fi x https://session masteringphysics.com/myct/temview?assignmentProblemIDs76140336&offset; prev Nov Search PHY156SPRING2017 HW 04 ich 190 t Heating a Water Bath signed as marinn prelo t Heating a Water Bath Part A inThe circun inthe fgure. 0 a 20 ohm resistor the water is innary at temperature 105 C now ong wait take fores temperature to rse to 581 c? sits inside 111 g of pure water that is surrounded by use 4190 J/kg. C as the heat capacity of water and express your answer n seconds using three signineant ngures of 1 0.0 n 0.0 n Suom! Hints Mar Anmmes Give up Review Part Incorrect, Try Again: 5 attempts remaining 000 100 n

Explanation / Answer

here,

the equivalent resistance for 10 ohm and 5 ohm resistance circuit be R1

1/R1 = 1/(10 + 10) + 1/(5 + 5) + 1/(10 + 10)

R1 = 5 ohm

the equivalent resistance for the whole circuit , Req = R1 + 5 + 20 ohm = 30 ohm

the current through 20 ohm , I = V/Req

I = 30/30 = 1 A

let the time taken to heat water be t

heat energy supplied by resistor = heat energy gained by water

I^2 * R * t = m * Cw * ( Tf - Ti)

1^2 * 20 * t = 111 * 4.186 * ( 58.1 - 10.5)

t = 1106 s

the time taken is 1106 s

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