Solution Found!
· CE Predict/Explain The number of turns in a solenoid is
Chapter 22, Problem 56P(choose chapter or problem)
Problem 56P
· CE Predict/Explain The number of turns in a solenoid is doubled, and at the same time its length is doubled. Does the magnetic field within the solenoid increase, decrease, or stay the same? (b) Choose the best explanation from among the following:
I. Doubling the number of turns in a solenoid doubles its magnetic field, and hence the field increases.
II. Making a solenoid longer decreases its magnetic field, and therefore the field decreases.
III. The magnetic field remains the same because the number of turns per length is unchanged.
Questions & Answers
QUESTION:
Problem 56P
· CE Predict/Explain The number of turns in a solenoid is doubled, and at the same time its length is doubled. Does the magnetic field within the solenoid increase, decrease, or stay the same? (b) Choose the best explanation from among the following:
I. Doubling the number of turns in a solenoid doubles its magnetic field, and hence the field increases.
II. Making a solenoid longer decreases its magnetic field, and therefore the field decreases.
III. The magnetic field remains the same because the number of turns per length is unchanged.
ANSWER:
Step 1 of 2:
a)
Here, we have to explain whether the magnetic field within the solenoid will increase, decrease or remain the same.
We know that,
.
Where
As the number of turns get doubled and at the same time the length is also gets doubled, the value of remains unchanged and hence the magnetic field will be unchanged.