A coil with 100 turns is placed in a magnetic field that changes at a rate of 0.
Practice Questions
Q1
A coil with 100 turns is placed in a magnetic field that changes at a rate of 0.5 T/s. What is the induced EMF in the coil?
50 V
100 V
200 V
25 V
Questions & Step-by-Step Solutions
A coil with 100 turns is placed in a magnetic field that changes at a rate of 0.5 T/s. What is the induced EMF in the coil?
Correct Answer: 50 V
Step 1: Understand that we need to find the induced EMF (electromotive force) in a coil.
Step 2: Know that the formula to calculate induced EMF is given by Faraday's law: EMF = -N * (dΦ/dt), where N is the number of turns in the coil and dΦ/dt is the rate of change of magnetic flux.
Step 3: Identify the values given in the question: N (number of turns) = 100 and dΦ/dt (rate of change of magnetic field) = 0.5 T/s.
Step 4: Substitute the values into the formula: EMF = -100 * 0.5.
Step 5: Calculate the result: -100 * 0.5 = -50 V.
Step 6: The negative sign indicates the direction of the induced EMF, but we are interested in the magnitude, which is 50 V.
Faraday's Law of Electromagnetic Induction – This law states that the induced electromotive force (EMF) in a coil is proportional to the rate of change of magnetic flux through the coil.
Magnetic Flux – Magnetic flux is the product of the magnetic field and the area through which it passes, and it changes when the magnetic field or the area changes.
Induced EMF – The induced EMF is the voltage generated by the changing magnetic field in the coil, which can be calculated using the number of turns and the rate of change of magnetic flux.
