Final answer:
To calculate the energy stored in a solenoid, use the formula Energy = (1/2) * L * I^2. Given the solenoid's dimensions, number of turns, and current, you can calculate the inductance using the formula Inductance = (mu0 * N^2 * A) / l.
Step-by-step explanation:
To calculate the energy stored in a solenoid, we can use the formula:
Energy = (1/2) * L * I^2
Where L is the inductance of the solenoid and I is the current flowing through it.
Given that the solenoid has a diameter of 2.90 cm, length of 14.0 cm, 160 turns of wire, and carries a current of 0.760 A, we can calculate the inductance using the formula:
Inductance = (mu0 * N^2 * A) / l
Where mu0 is the permeability of free space, N is the number of turns, A is the cross-sectional area, and l is the length of the solenoid.
Substituting the given values, we can find the inductance. From there, we can calculate the energy stored in the solenoid.