Question

Lenz's Law The magnetic flux through the loop shown in the accompanying figure varies with time according to4Pm milliwebers. What are the direction and magnitude of the current through the 5.00-Ω resistor at (a) t = 0 ; (b) =2.00e-31 sin( 120m), where Pm is '' ' ' t= 2.17×10-2 s, and (c) t=3.00 s? 5.0 Ω

Answer 1

Lenz's Law states that the induced current in a circuit will create a magnetic field that opposes the change in magnetic flux.

Step-by-step explanation:

Lenz's Law states that the induced current in a circuit will create a magnetic field that opposes the change in magnetic flux through the circuit. The direction of the induced current can be determined using the right-hand rule.

(a) At t = 0, the magnetic flux through the loop is 4Pm milliwebers. Since there is no change in magnetic flux, the induced current will be zero.

(b) At t = 2.00e-31 s, the magnetic flux is given by m = 2.00e-³¹ sin(120лt). Plugging in the values, we get m = 2.00e-³¹ sin(120л(2.17×10-2)). Calculate the value of m and determine the direction of the induced current using Lenz's Law.

(c) At t = 3.00 s, plug the value of t into the equation m = 2.00e-³¹ sin(120лt) to calculate the magnetic flux. Determine the direction of the induced current using Lenz's Law.