In a solenoid in which the wires are wound such that each loop touches the adjacent ones, which of the following will increase the magnetic field inside the magnet? a) making the radius of the loops smaller b) increasing the radius of the wire c) increasing the radius of the solenoid d) decreasing the radius of the wire e) immersion of the solenoid in gasoline

Short Answer

Expert verified
Answer: Decreasing the radius of the wire.

Step by step solution

01

Analyze option (a)

Making the radius of the loops smaller will not increase the number of turns per unit length or the current flowing through the wire. Therefore, this option will not increase the magnetic field inside the magnet.
02

Analyze option (b)

Increasing the radius of the wire will increase the resistance of the wire (R = ρ * (L/A), where ρ is the resistivity, A is the cross-sectional area). This will decrease the current flowing through the wire, which will not increase the magnetic field inside the magnet.
03

Analyze option (c)

Increasing the radius of the solenoid will not change the number of turns per unit length or the current flowing through the wire. Thus, this option will not increase the magnetic field inside the magnet.
04

Analyze option (d)

Decreasing the radius of the wire will decrease the resistance of the wire. This will increase the current flowing through the wire, which will increase the magnetic field inside the magnet. Therefore, option (d) is correct.
05

Analyze option (e)

Immersion of the solenoid in gasoline has no direct effect on the number of turns per unit length or the current flowing through the wire. Therefore, this option will not increase the magnetic field inside the magnet. In conclusion, the correct answer is option (d) - decreasing the radius of the wire will increase the magnetic field inside the magnet.

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