(a) A coil of conducting wire carries a current of i(t) = 16.0 sin(1.20 x 10³t), where i is in amperes and t is in seconds. A second coil is placed in close proximity to the first, and the mutual inductance of the coils is 160 μH. What is the peak emf (in V) in the second coil? (b) What If? Which would lead to a larger peak emf in the second coil, a doubling of the mutual inductance or a doubling of the frequency with which the current in the first coil changes? O Doubling the mutual inductance would lead to a larger peak emf. O Doubling the frequency with which the current in the first coil changes would lead to a larger peak emf. O The two changes would each have the same effect.

(a) A coil of conducting wire carries a current of i(t) = 16.0 sin(1.20 x 10³t), where i is in amperes and t is in seconds. A second coil is placed in close proximity to the first, and the mutual inductance of the coils is 160 μH. What is the peak emf (in V) in the second coil? (b) What If? Which would lead to a larger peak emf in the second coil, a doubling of the mutual inductance or a doubling of the frequency with which the current in the first coil changes? O Doubling the mutual inductance would lead to a larger peak emf. O Doubling the frequency with which the current in the first coil changes would lead to a larger peak emf. O The two changes would each have the same effect.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 56P: A flat, square coil of 20 turns that has sides of length 15.0 cm is rotating in a magnetic field of...

See similar textbooks

Related questions

Q: Calculate, in Tesla squared meters, the magnitude of the change in the magnetic flux. ΔΦ = ______…

Q: a b -b- A coil with a = 10.800 cm and b = 13.000 cm is in the same plane with a long straight wire.…

A: The objective of this question is to calculate the electromotive force (emf) in a coil at a given…

Q: An electric generator uses a 560-turn coil with a diameter of 4 cm that is rotating in a 0.25-T…

A: number of turns of coils = 560 turnsdiameter = 4 cm radius = 2 cm r = 0.02 m magnetic field (B) =…

Q: WR b. The power (P) supplied to an electric circuit is given by P i? dt. If i = 63 * I sin(wt), I is…

A: P=ωR2π∫02πωi2dtGiven that,i=63×Isinωt

Q: Two coils are placed close together in a physics lab to demonstrate Faraday’s law of induction. A…

A: Change on current, dI =5 A time, t =1 ms emf = 9 V

Q: At the instant a current of 0.40 A is flowing through a coil of wire, the energy stored in its…

A: Write the equation for the energy stored in magnetic field. Eenrgy storedU=12Inductance LCurrent I2…

Q: goes L n

A: Initial value of current, I1 = 0.200 A Final value of…

Q: the battery long after the switch has been closed A 1,8 MF Capacitor is charges to 55 V by abort…

Q: Basic of electrical circuits (a) A 5 μH inductor is driven by a current I(t) = 10 sin (27 10t) mA.…

Q: inductance

Q: An ac electrical generator is made by turning a flat coil in a uniform constant magnetic field of…

Q: A 80-cm side length square coil has 145 turns. An initial uniform magnetic field of strength 6.5 mT…

A: Given:- B = 6.5 mT L = 80 cm N = 145 turns

Q: The amount of electric charge that flows every time (q(t)) in an electric circuit consisting of an…

A: The amount of electric charge that flows every time q(t) in an electric circuit consisting of an…

Q: A solenoid of radius 3.10 cm has 440 turns and a length of 15.0 cm. (a) Find its inductance. mH (b)…

A: Step 1:Step 2:

Q: Two coils are placed close together in a physics lab to demonstrate Faraday's law of induction. A…

Q: How many turns of wire are needed to produce an inductance of 100 mH if the length of the coil is 30…

Q: ) What is the inductance of a coil if it produces an emf of 8.5V when the current in it changes…

A: Given: The induced emf is 8.5 V. The initial current is -20 mA. The final current is 24 mA. The time…

Q: A generator uses a coil that has 370 turns and a 0.49-T magnetic field. The frequency of this…

A: as per givenno of turns=370Applied mag field= 0.49 Tfrequency of generator= 60 Hzemf =120 V

Concept explainers

Ferromagnetism

Ferromagnetism is a mechanism by which some materials show magnetic properties. Iron and magnetite, an oxide of iron, are two naturally occurring materials that show the property of ferromagnetism. The word ferromagnetism is derived from the Latin name of iron, "Ferrum" as it was the first observed material to show such property. The property of ferromagnetism is shown by only a few substances such as iron, nickel, cobalt, and their alloys. Some transition metals and alloys of rare-earth metals also show ferromagnetism.

Question

100%

(a) A coil of conducting wire carries a current of i(t) = 16.0 sin(1.20 x 10³t), where i is in amperes and t is in seconds. A second coil is placed in close proximity to the first, and the mutual inductance of the coils is 160 pH. What is the peak emf (in V) in the second
coil?
V
(b) What If? Which would lead to a larger peak emf in the second coil, a doubling of the mutual inductance or a doubling of the frequency with which the current in the first coil changes?
O Doubling the mutual inductance would lead to a larger peak emf.
O Doubling the frequency with which the current in the first coil changes would lead to a larger peak emf.
O The two changes would each have the same effect.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Determine the given variables

VIEW

Step 2: Calculate peak emf in second coil

VIEW

Step 3: Calculate peak emf in second coil

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

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

A flat, square coil of 20 turns that has sides of length 15.0 cm is rotating in a magnetic field of strength 0.050 T. If tlie maximum emf produced in die coil is 30.0 mV, what is the angular velocity of the coil?
What is the self-inductance per meter of a coaxial cable whose inner radius is 0.50 mm and whose outer radius is 4.00 mm?
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? ?
In an oscillating LC circuit the maximum charge on the capacitor is 2.0 × 10-6 C and the maximum current through the inductor is 8.0 mA. (a) What is the period of the oscillations? (b) How much time elapses between an instant when the capacitor is uncharged and the next instant when it is fully charged?
The self-inductance and capacitance of an oscillating LC circuit are L = 20 mH and C = 1.0 F , respectively. (a) What is the frequency of the oscillation? (b) If the maximum potential difference the plates of the capacitor is 50 V, what is the maximum current in the circuit?
A long, cylindrical solenoid with 100 turns per centimeter has a radius of 1.5 cm. (a) Neglecting end effects, that is the self-inductance per unit length of the solenoid? (b) If the current through the solenoid changes at the rate 5.0 AJs, what is the emf induced per unit length?
At s1iat frequency is the reactance of a 20F capacitor equal to that of a 10-mH inductor?
An emf of 9.7 × 10-3 V is induced in a coil while the current in a nearby coil is decreasing at a rate of 2.7 A/s. What is the mutual inductance of the two coils?
A steady current flows through a circuit with a large induct3ve time constant. When a switch in the circuit is opened, a large spark across the terminals of the switch. Explain.
A coil with 50 turns and area 10cm2 is oriented with its plane perpendicular to a 0.75-T magnetic field. If the coil is flipped over (rotated through 180°) in 0.20 s, what is the average emf induced in it?
At the instant a current of 0.20 A is flowing through a coil of wire, the energy stored in its magnetic field is 6.0 × 10-3 J. What is the self-inductance of the coil?
A solenoid 50 cm long is wound with 500 turns of wire. The cross-sectional area of the coil is 2.0 cm2. What is the self-inductance of the solenoid?