(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A single conducting loop of wire has an area of 8.0×10−2 m^2 and a resistance of 110 Ω. Perpendicular to the plane of the loop is a magnetic field of strength 0.37 T.

At what rate (in T/s) must this field change if the induced current in the loop is to be 0.33 A?

2. Relevant equations

Trying to solve for ΔB/Δt

3. The attempt at a solution

We have a change in magnetic flux, but it seems to be due to ΔB rather than ΔA, so Δflux = ΔB*Acosθ (However since cos(90) = 0, I'm not sure if this will be correct).

Using Faraday's Law |ε| = N|(Δflux/Δt)|

Substituted Δflux = ΔB*A into Faraday's Law --> ε = N(ΔB*A/Δt)

Substituted the equation for the induced EMF into I = |ε|/R and solved for ΔB/Δt

ΔB/Δt = I*R/A (N=1 because the loop has 1 turn)

453.75 T/s = (.33A)*(110Ω)/(8.0*10^-2 m^2)

asks for 2 significant digits -> 450 T/s = Final Answer

I'm not sure where I'm going wrong...

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Rate of Field Change for Induced Current of Loop

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