The proof that
Answer to Problem 23P
It is proved that
Explanation of Solution
Formula used:
The expression for total magnetic fieldis given by,
Calculation:
The total magnetic fieldis calculated as,
Differentiate
Differentiate
Substitute
Substitute
Differentiate equation (2) with respect to
Substitute
Substitute
Differentiate equation (4) with respect to
Substitute
Substitute
Conclusion:
Therefore, it is proved that
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Chapter 27 Solutions
Physics for Scientists and Engineers
- Two identical current loops have their center at (0,0,0) and (0,0,4) and their axes are the same as the z-axis (so that the 'Helmholtz Coil' is formed). If each loop has radius 2m and carries 5A current in â,. calculate H at (0,0,0) and (0,0,2).arrow_forwardA conducting rectangular loop (stationary) of single turn lies on the xy plane as shown in the following figure. The loop is situated in a magnetic field specified by: B = (4ax − 3ay − 2az)sin10 πt Wb m 6/2 Calculate the induced voltage on the rectangular loop. Here, X =10 Y =7arrow_forwardA closely wound solenoid of 2000 turns and area of cross-section 1.6×10 −4 m 2 carrying 4.0 A current, is suspended through its centre, thereby allowing it to turn in a horizontal plane. What is the magnetic moment associated with the solenoid?arrow_forward
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- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning