MasteringPhysics: Homework 12 - Google Chrome ! https://session.masteringphysics

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MasteringPhysics: Homework 12 - Google Chrome ! https://session.masteringphysics.com/myct/itemView?offset-next&assignmentProblemID-87521098; Homework 12Item 2 Resources previous | 2 of 12 | next » Item 2 Part A A conducting loop with area 0.16 m and resistance 8.0 lies in the x-y plane. A spatially uniform magnetic field points in the z direction. The field varies with time according to B, = ar-b where a = 2.5 T/s2 and b-72 T Find the loop current when t = 1.0 s Express your answer using two significant figures Submit My Answers Give Up Part B when B2 Find the loop current Express your answer using two significant figures Submit My Answers Give Up ac Continue

Explanation / Answer

Here,

Bz = 2.5 * t^2 - 7.2

dB/dt = d/dt(2.5 * t^2 - 7.2 )

dB/dt = 5 * t

part A)

let the current induced is I

Using Faraday's law

I * R = rate of change of flux

I * 8 = 0.16 * 5 * t

I * 8 = 0.16 * 5 * 1

I = 0.1 A

the current in the loop is 0.1 A

part B)

for Bz = 0

2.5 * t^2 - 7.2 = 0

t = 1.7 s

Using Faraday's law

I * R = rate of change of flux

I * 8 = 0.16 * 5 * 1.70

I * 8 = 0.16 * 5 * 1.70

I = 0.17 A

the current in the loop is 0.17 A

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