Question

A circular loop of wire with radius $r=0.0250 \mathrm{~m}$ and resistance $R=0.390 \Omega$ is in a region of spatially uniform magnetic field, as shown in Fig. E29.22. The magnetic field is directed into the plane of the figure. At $t=0, B=0$. The magnetic field then begins increasing, with $B(t)=\left(0.380 \mathrm{~T} / \mathrm{s}^{3}\right) t^{3} .$ What is the current in the loop (magnitude and direction) at the instant when $B=1.33 \mathrm{~T} ?$

Name: A circular loop of wire with radius r=0.0250 m and resistance R=0.390 Ω is in a region of spatially uniform magnetic field, as shown in Fig. E29.22. The magnetic field is directed into the plane of the figure. At t=0, B=0. The magnetic field then begins increasing, with B(t)=(0.380 T / s^3) t^3 . What is the current in the loop (magnitude and direction) at the instant when B=1.33 T ?
Uploaded: 2022-03-20T02:31:49-08:00
Duration: 2 min 53 s
Channel: Deepanshu Kumar
Description: A circular loop of wire with radius r=0.0250 m and resistance R=0.390 Ω is in a region of spatially uniform magnetic field, as shown in Fig. E29.22. The magnetic field is directed into the plane of the figure. At t=0, B=0. The magnetic field then begins increasing, with B(t)=(0.380 T / s^3) t^3 . What is the current in the loop (magnitude and direction) at the instant when B=1.33 T ?

          A circular loop of wire with radius $r=0.0250 \mathrm{~m}$ and resistance $R=0.390 \Omega$ is in a region of spatially uniform magnetic field, as shown in Fig. E29.22. The magnetic field is directed into the plane of the figure. At $t=0, B=0$. The magnetic field then begins increasing, with $B(t)=\left(0.380 \mathrm{~T} / \mathrm{s}^{3}\right) t^{3} .$ What is the current in the loop (magnitude and direction) at the instant when $B=1.33 \mathrm{~T} ?$

Added by Daniel C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Deepanshu Kumar

03/20/2022

Step 1

33 \, \mathrm{T}$: Given $B(t) = 0.380 \, \mathrm{T/s^3} \cdot t^3$, we can set $B(t) = 1.33 \, \mathrm{T}$ and solve for $t$: $0.380 \, \mathrm{T/s^3} \cdot t^3 = 1.33 \, \mathrm{T}$ $t^3 = \frac{1.33}{0.380}$ $t = \left(\frac{1.33}{0.380}\right)^{1/3}$ $t \approx Show more…

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A circular loop of wire with radius $r=0.0250 \mathrm{~m}$ and resistance $R=0.390 \Omega$ is in a region of spatially uniform magnetic field, as shown in Fig. E29.22. The magnetic field is directed into the plane of the figure. At $t=0, B=0$. The magnetic field then begins increasing, with $B(t)=\left(0.380 \mathrm{~T} / \mathrm{s}^{3}\right) t^{3} .$ What is the current in the loop (magnitude and direction) at the instant when $B=1.33 \mathrm{~T} ?$