a) 0.35 A counterclockwise b) 0.43 A clockwise c) 0.56 A clockwise d) 0.61 A cou
ID: 2076997 • Letter: A
Question
a) 0.35 A counterclockwise b) 0.43 A clockwise c) 0.56 A clockwise d) 0.61 A counterclockwise
A flat coil of wire consists of 20 turns, with an area of 50 cm^2. It is positioned in the x-y plane (ie, the plane of this paper), in a uniform magnetic field directed upward and angled 30 degree from the positive z-axis. The field then increases in magnitude at a constant rate from 2.0 T to 6.0 Tin 2.0 s. If the coil has a total resistance of 0.40 Ohm, what is the magnitude & direction of the induced current (looking down on the coil from the +z direction to the -z direction)?Explanation / Answer
here,
number of turns , n = 20 turns
area = 50 cm^2 = 0.005 m^2
theta = 30 degree
time , t = 2 s
the EMF induced , EMF = n * area * dB * cos(theta)/dt
magnitude of current , I = EMF /R
I = 20 * 0.005 * ( 6 - 2) * cos(30) /( 2 * 0.4) A
I = 0.43 A
and using Lenz's law
the induced feild is in -z direction
so the current is in clockwise direction
the correct option is b) 0.43 A clockwise
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.