Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
5th Edition
ISBN: 9780137488179
Author: Douglas Giancoli
Publisher: PEARSON+
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Chapter 30, Problem 2Q
To determine
The effect on mutual inductance as the second coil of
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So the emf is the same in the loop and the solenoid? I am not sure why?
A solenoid has N turns of area A distributed uniformly along its length, /. When the current in this solenoid increases at the rate of 2.0 A>s, an induced emf of 75 mVis observed. (a) What is the inductance of this solenoid? (b) Suppose the spacing between coils is doubled. The result is a solenoid that is twice as long but with the same area and numberof turns. Will the induced emf in this new solenoid be greaterthan, less than, or equal to 75 mV when the current changes atthe rate of 2.0 A>s? Explain. (c) Calculate the induced emf forpart (b).
why does a smple dc motor would have a non vanishing potential difference across the terminals as it is used and the current flows through it even if its rotor has a negligible resistance?
Chapter 30 Solutions
Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
Ch. 30 - Prob. 1QCh. 30 - Prob. 2QCh. 30 - Prob. 3QCh. 30 - Prob. 4QCh. 30 - If you are given a fixed length of wire, how would...Ch. 30 - Prob. 6QCh. 30 - Prob. 7QCh. 30 - Prob. 8QCh. 30 - What keeps an LC circuit oscillating even after...Ch. 30 - In an ac LRC circuit, if XL XC, the circuit is...
Ch. 30 - Prob. 13QCh. 30 - Under what conditions is the impedance in an LRC...Ch. 30 - Is it possible for the instantaneous power output...Ch. 30 - In an ac LRC circuit, does the power factor, cos,...Ch. 30 - Describe briefly how the frequency of the source...Ch. 30 - Prob. 18QCh. 30 - In an LRC circuit, the current and the voltage in...Ch. 30 - Compare the oscillations or an LRC circuit to the...Ch. 30 - Prob. 4PCh. 30 - Prob. 28PCh. 30 - Prob. 29PCh. 30 - Prob. 30PCh. 30 - (II) (a) What is the rms current in a series LR...Ch. 30 - (I) What is the resonant frequency of the LRC...Ch. 30 - At time t = 0, the switch in the circuit shown in...Ch. 30 - Prob. 70GPCh. 30 - Show that the fraction of electromagnetic energy...
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- Suppose that a rectangular toroid has 2000 windings and a self-inductance of 0.040 H. If h = 0.10 m, what is the current flowing through a rectangular toroid when the energy in its magnetic field is 2.0 Ă— 10-6 J?arrow_forwardIn the simple RL circuit of Figure 14.12(b), can the emf induced across the inductor ever be greater than the emf of the battery used to produce the current?arrow_forwardAn eight-turn coil is tightly wrapped around the outside of the long solenoid as shown below. The radius of the solenoid is 2.0 cm and it has 10 turns per centimeter. The current through the soleNOID increases according to I=I0(1eat) where I0=4.0A and a=2.0102s1 . What is the emf induced in the coil when (a) t=0, (b) t=1.0102s and (c) t ?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_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_forwardA 600-turn solenoid is 0.55 m long and 4.2 cm in diameter. Inside the solenoid, a small (1.1 cm Ă— 1.4 cm), single-turn rectangular coil is fixed in place with its face perpendicular to the long axis of the solenoid. What is the mutual inductance of this system?arrow_forward
- How would changing the radius of loop D shown below affect its emf, assuming C and D are much closer together compared to their radii?arrow_forwardA 10-H inductor carries a current of 20 A. How much ice at 0ÂşC could be melted by the energy stored in the magnetic field of the inductor? (Hint: Use the value Lf= 334 J/g for ice.)arrow_forwardA 5000-pF capacitor is charged to 100 V and then quickly connected to an 80-mH inductor. Determine (a) the maximum energy stored in the magnetic field of the inductor, (b) the peak value of the current, and (c) the frequency of oscillation of the circuit.arrow_forward
- Two 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_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_forwardA long solenoid of radius a with n turns per unit length is carrying a tune-dependent current I(t)=I0sintwhere I0 and are constants. The solenoid is surrounded by a wire of resistance R that has two circular loops of radius b with b>a. Find the magnitude and direction of current induced m the outer loops at tune t=0.arrow_forward
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