Concept explainers
(a)
Number of turns needed to run the power supply at maximum power.
(a)
Answer to Problem 80GP
Number of turns needed to run the power supply at maximum power are
Explanation of Solution
Given:
The magnetic field at the center of the coil is given as
Diameter of a circular coil made from a square copper wire of
At a maximum power output of
Formula used:
Number of turns is
Calculation:
Resistance in the copper wire is
Length of the copper wire wrapped on a square of sided is
Thus, number of turns of the copper wire is
Conclusion:
(b)
The magnetic field strength at the center of the coil.
(b)
Answer to Problem 80GP
The magnetic field strength at the center of the coilis
Explanation of Solution
Given:
The magnetic field at the center of the coil is given as
Diameter of a circular coil made from a square copper wire of
At a maximum power output of
Formula used:
Power is calculated as
Calculation:
The magnetic field is calculated as
Conclusion:
Thus, the magnetic field strength at the center of the coilis
(c)
To explain: Effect on the magnetic field, if number of turns increases for the same power supply.
(c)
Answer to Problem 80GP
If number of turns increases, so will be the magnetic field in the coil.
Explanation of Solution
Given:
The magnetic field at the center of the coil is given as
Since magnetic field is directly proportional to the number of turns. Thus, if number of turns increase, so will be the magnetic field in the coil. If number of turns increases, this suggests that the length of the copper wire from which circular wire is made is greater. If the length increases, so will be the resistance in the wire and the current will subsequently decreases. To keep the magnetic field constant, dependency of number of turns must be removed.
Power is calculated as
Conclusion:
Thus, increasing number of turns will lead to increase in the magnetic field of the coil.
Chapter 20 Solutions
Physics: Principles with Applications
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