Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Question
Chapter 28, Problem 14P
(a)
To determine
The solenoid having larger self-inductance.
(b)
To determine
The ratio of self inductance of solenoid A to the self inductance of solenoid B.
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Consider an ideal solenoid X that carries a current 2I. Another solenoid is wrapped around solenoid X resulting to a mutual inductance of 2M . If the current in X is halved, what is the resulting mutual inductance?
Suppose that a rectangular toroid has 2000 windingsand a self-inductance of 0.040 H. If h = 0.10 m , what isthe ratio of its outer radius to its inner radius?
How can we calculate the self inductance of a solenoid?
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Two infinite solenoids cross the plane of the circuit as shown below. The radii of the solenoids are 0.10 and 020 m, respectively, and the current in each solenoid is changing such that dB/dt50.0T/s . What are die currents in die resistors of the circuit?arrow_forwardCheck Your Understanding (a) Calculate the self-inductance of a solenoid that is tightly wound with wire of diameter 0.10 cm, has a cross-sectional area of 0.90 cm2, and is 40 cm long. (b) If the current through the solenoid decreases uniformly from 10 to 0 A in 0.10 s, what is the emf induced between the ends of the solenoid?arrow_forwardSuppose that a rectangular toroid has 2000 windings and a self-inductance of 0.040 H. If h = 0.10 m, what is the ratio of its outer radius to its inner radius?arrow_forward
- Check Your Understanding How much energy is stored in the inductor of Example 14.2 after the current reaches its maximum value?arrow_forwardSuppose that a cylindrical solenoid is wrapped around a core of iron whose magnetic susceptibility is x. Using Equation 14.9, show that the self-inductance of the solenoid is given by L=(l+x)+0n2Al where l is its length, A its cross-sectional area and N its total number of turns. Nm=Uarrow_forwardSolenoid A is tightly wound while solenoid B has windings that are evenly spaced with a gap equal to the diameter of the wire. The solenoids are otherwise identical. Determine the ratio of the energies stored per unit length of these solenoids when the same current flows through each.arrow_forward
- Show that the self-inductance per unit length of an infinite, straight, thin wire is infinite.arrow_forwardFor the circuit shown below, find the current through the inductor 2.0105 s after the switch is reopened.arrow_forwardShow that for the circuit shown below, the initial energy stored in the inductor, LI2(0)/2 , is equal to the total energy eventually dissipated in the resistor 0I2(t)Rdt.arrow_forward
- A solenoid of N1turns has length l1and radius R1, and a second smaller solenoid of N2turns has length l2and radius R2. The smaller solenoid is placed completely inside the larger solenoid so that their long axes coincide. What is the mutual inductance of the two solenoids?arrow_forwardIf emf of the battery of Figure 14.12(b) is reduced by a factor of 2, by how much does the steady-state energy stored in the magnetic field of the inductor change?arrow_forwardTwo coils close to each other have a mutual inductance of 32 mH. If the current in one coil decays according to I=I0eat , where I0= 5.0 A and =2.0103s1 , what is the emf induced in the second coil immediately after the current starts to decay? At t=10.0103s? ?arrow_forward
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