Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 28, Problem 31P
(a)
To determine
The sketching of magnetic flux and induced emf as a function of time.
(b)
To determine
The value of time(s) for the flux is minimum and also value of induced emf at that (those) time(s).
(c)
To determine
The value of time(s) for the flux is zero and value of induced emf at that time(s).
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A square wire with side a = 0.085 m is in a time-varying magnetic field with magnitude B(t) = At, where A = 0.15 T/s. The plane in which the square is located has an angle θ with the direction of B.
Express the magnitude of the magnetic flux going through the loop, Φ, in terms of A, t, a and θ.
a. Express the derivative of the flux with respect of time, dΦ/dt.
b. Express the magnitude of the emf induced in the loop, ε, in terms of A, a, and θ.
c. Calculate the numerical value of ε when θ = 0, in volts.
d. Calculate the numerical value of ε when θ = 90°, in volts.
A conducting circular loop of wire with radius 0.0300 m and resistance 0.40 Ω sits in a region of spatially uniform magnetic field, as shown in the figure. The magnetic field is directed into the plane of the figure and it changes in time with the expression
B(t) = 1.080 T - (0.360 T/s )∙t (here T represents the unit Tesla and t is the time)a) Give the magnetic flux through the loop as a function of time.b) Give the EMF induced in the loop as a function of time.c) Calculate the induced current at time t = 1.0 s. Show the steps that lead to youranswers.d) What is the direction of the current in the loop at t = 1.0 s? Explain/justify youranswer
A rectangular wire loop with length a and width b lies in the xy-plane, as shown below. Within the loop there is a time-dependent magnetic field given by B → (t) = C (x cos ωt)i ^ + (y sin ωt)k ^, with B → (t) in tesla. Determine the emf induced in the loop as a function of time.
Chapter 28 Solutions
Physics for Scientists and Engineers
Ch. 28 - Prob. 1PCh. 28 - Prob. 2PCh. 28 - Prob. 3PCh. 28 - Prob. 4PCh. 28 - Prob. 5PCh. 28 - Prob. 6PCh. 28 - Prob. 7PCh. 28 - Prob. 8PCh. 28 - Prob. 9PCh. 28 - Prob. 10P
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