A 15.0-cm-long solenoid with radius 0.750 cm is closely wound with 600 turns of wire. The current in the windings is 8.00 A. Compute the magnetic field at a point near the center of the solenoid.

Video transcript

Welcome back everybody. We are making observations about a solenoid and we are told that it is made up of 425 turns of copper wire. We are told that the length is 32 centimeters or 320.32 m. We are told that it can carry a current of five amps. We are tasked with finding what the magnetic field is at the center of the solenoid. Luckily we have an equation for this, so this is equal to a constant times and divided by L. Times our current. So let's go ahead and plug in all of our values. We have four pi times 10 to the negative, seventh times 425 turns divided by 4250.32 m of length times our current of five amps giving us a final answer of 8.34 times 10 to the negative third. Tesla's corresponding to our answer choice of D. Thank you all so much for watching. Hope this video helped. We will see you all in the next one.