Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 28, Problem 30P
(a)
To determine
The induced emf as a function of time.
(b)
To determine
The value of
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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 charged capacitor and an inductor are connected at time t = 0. In terms of the period T of the resulting oscillations, what is the first later time at which the following reach a maximum: (a) UB, (b) the magnetic flux through the inductor, (c) di/dt, and (d) the emf of the inductor?
A solenoid of length 30 cm with 10 turns per centimeter and area of cross-section 40 cm² completely surrounds another co-axial solenoid of same length, area of cross- section 20 cm² with 40 turns per centimeter. The mutual inductance of the system is Find.
Chapter 28 Solutions
Physics for Scientists and Engineers
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