Explanation 1) Concept: By using equation 29 - 26 , we can find the net magnetic field along the y direction due to both the coils. By using the given conditions in the problem and the graph, we can find the currents in both the loops. 2) Formula: B = μ 0 i R 2 2 R 2 + Z 2 3 2 3) Given: i) R 1 = R 2 = 4 c m = 0.04 m ii) L = 3 c m = 0.03 m iii) B y = 7.20 μ T as y → ∞ iv) y s = 10 c m = 0.01 m 4) Calculation: From equation 29 - 26 , we know the magnetic field due to a coil at a distance z is B = μ 0 i R 2 2 R 2 + z 2 3 2 The net magnetic field due to both the coils is B y = B 1 + B 2 But from the graph, we can conclude that the magnetic field due to loop 2 is negative. Therefore, B y = μ 0 i 1 R 2 2 R 2 + z 1 2 3 2 - μ 0 i 2 R 2 2 R 2 + z 2 2 3 2 As z 1 2 = L 2 and the z 2 2 = y 2 So the equation can be written as B y = μ 0 i 1 R 2 2 R 2 + L 2 3 2 - μ 0 i 2 R 2 2 R 2 + y 2 3 2 … … … … … … … … … … … … … … … … … ( 1 ) a) As y → ∞ , the above equation becomes B y = μ 0 i 1 R 2 2 R 2 + L 2 3 2 Rearranging the equation for current i 1 : i 1 = 2 B y R 2 + L 2 3 2 μ 0 R 2 By substituting the given values, we get i 1 = 2 × 7

Fundamentals of Physics, Volume 1, Chapter 1-20

10th Edition

ISBN: 9781118233764

Author: David Halliday

Publisher: WILEY

See similar textbooks

Concept explainers

Magnetic Force

A magnetic force arises when a charged particle or a current-carrying conductor is placed in a magnetic field. It is created because of the movement of the charged particles.

Question

Chapter 29, Problem 60P

To determine

To find:

a) The current i1 in the loop 1.

b) The current i2 in the loop 2

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 29, Problem 59P

Chapter 29, Problem 61P

Students have asked these similar questions

A radiography contingent are carrying out industrial radiography. A worker accidentally crossed a barrier exposing themselves for 15 seconds at a distance of 2 metres from an Ir-192 source of approximately 200 Bq worth of activity. What dose would they have received during the time they were exposed?

In the following figure the circuit to the left has a switch thatat t = 0 s is switched and disconnects the battery from the circuit. The state depicted on thefigure is right after the switch, still t = 0. As the current decreases over time, the magneticflux through the circuit on the right (due to the long cable of the circuit on the left) changesand induces an EMF on the right circuit. How much power is consumed by R2 as a functionof time.The distance between the wire on the left and the closest wire on the right is r = 2.0 cm.The size of the circuit on the right is noted on the figure.

singly A samply ionized helium atom is in the ground state. It absorbs energy and makes a transition to the n=7 excited state. The ion returns to wo the wavelength the ground state by emitting SIX photons ONLY. What is the of the second highest energy photon ?

Chapter 29 Solutions

Fundamentals of Physics, Volume 1, Chapter 1-20

Ch. 29 - Prob. 1Q Ch. 29 - Prob. 2Q Ch. 29 - Prob. 3Q Ch. 29 - Prob. 4Q Ch. 29 - Prob. 5Q Ch. 29 - Prob. 6Q Ch. 29 - Prob. 7Q Ch. 29 - Prob. 8Q Ch. 29 - Prob. 9Q Ch. 29 - Prob. 10Q

Ch. 29 - Prob. 11Q Ch. 29 - A surveyor is using a magnetic compass 6.1 m below...Ch. 29 - Figure 29-35a shows an element of length ds = 1.00...Ch. 29 - SSM At a certain location in the Philippines,...Ch. 29 - Prob. 4P Ch. 29 - Prob. 5P Ch. 29 - Prob. 6P Ch. 29 - Prob. 7P Ch. 29 - Prob. 8P Ch. 29 - Prob. 9P Ch. 29 - Prob. 10P Ch. 29 - Prob. 11P Ch. 29 - Prob. 12P Ch. 29 - Prob. 13P Ch. 29 - Equation 29-4 gives the magnitude B of the...Ch. 29 - Prob. 15P Ch. 29 - Prob. 16P Ch. 29 - Prob. 17P Ch. 29 - Prob. 18P Ch. 29 - Prob. 19P Ch. 29 - Prob. 20P Ch. 29 - Prob. 21P Ch. 29 - Prob. 22P Ch. 29 - Prob. 23P Ch. 29 - Prob. 24P Ch. 29 - Prob. 25P Ch. 29 - Prob. 26P Ch. 29 - Prob. 27P Ch. 29 - GO Figure 29.56a shows two wires, each carrying....Ch. 29 - Prob. 29P Ch. 29 - Prob. 30P Ch. 29 - Prob. 31P Ch. 29 - GO The current-carrying wire loop in Fig. 29-6a...Ch. 29 - Prob. 33P Ch. 29 - Prob. 34P Ch. 29 - Prob. 35P Ch. 29 - Prob. 36P Ch. 29 - Prob. 37P Ch. 29 - Prob. 38P Ch. 29 - Prob. 39P Ch. 29 - Prob. 40P Ch. 29 - Prob. 41P Ch. 29 - Prob. 42P Ch. 29 - Prob. 43P Ch. 29 - Prob. 44P Ch. 29 - Prob. 45P Ch. 29 - Prob. 46P Ch. 29 - ILW The current density inside a long, solid,...Ch. 29 - Prob. 48P Ch. 29 - Prob. 49P Ch. 29 - A solenoid that is 95.0 cm long has a radius of...Ch. 29 - A 200-turn solenoid having a length of 25 cm and a...Ch. 29 - A solenoid 1.30 m long and 2.60 cm in diameter...Ch. 29 - A long solenoid has 100 turns/cm and carries...Ch. 29 - An electron is shot into one end of a solenoid. As...Ch. 29 - Prob. 55P Ch. 29 - Prob. 56P Ch. 29 - Prob. 57P Ch. 29 - Prob. 58P Ch. 29 - Prob. 59P Ch. 29 - Prob. 60P Ch. 29 - A circular loop of radius 12 cm carries a current...Ch. 29 - Prob. 62P Ch. 29 - Prob. 63P Ch. 29 - Prob. 64P Ch. 29 - A cylindrical cable of radius 8.00 mm carries a...Ch. 29 - Two long wires lie in an xy plane, and each...Ch. 29 - Two wires, both of length L, are formed into a...Ch. 29 - Prob. 68P Ch. 29 - Prob. 69P Ch. 29 - Prob. 70P Ch. 29 - A 10-gauge bare copper wire 2.6 mm in diameter can...Ch. 29 - A long vertical wire carries an unknown current....Ch. 29 - Prob. 73P Ch. 29 - The magnitude of the magnetic field at a point...Ch. 29 - Prob. 75P Ch. 29 - Prob. 76P Ch. 29 - Prob. 77P Ch. 29 - A long wire carrying 100 A is perpendicular to the...Ch. 29 - A long, hollow, cylindrical conductor with inner...Ch. 29 - A long wire is known to have a radius greater than...Ch. 29 - Prob. 81P Ch. 29 - Prob. 82P Ch. 29 - Prob. 83P Ch. 29 - Three long wires all lie in an xy plane parallel...Ch. 29 - Prob. 85P Ch. 29 - Prob. 86P Ch. 29 - Prob. 87P Ch. 29 - Prob. 88P

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.