Answer:
2.93 x 10⁻⁴ volts
4.88 x 10⁻⁵ A
Explanation:
N = Number of turns in cylindrical coil = 400
r = radius of the coil = 2 cm = 0.02 m
Area of the coil is given as
A = πr²
A = (3.14)(0.02)²
A = 12.56 x 10⁻⁴ m²
ΔB = Change in magnetic field = 0.13 - 0.06 = 0.07 T
t = time interval = 2 min = 2 x 60 sec = 120 sec
Induced emf is given as
[tex]E=\frac{NA\Delta B}{t}[/tex]
[tex]E=\frac{(400)(12.56\times 10^{-4})(0.07)}{120}[/tex]
E = 2.93 x 10⁻⁴ volts
R = resistance of the resistor = 6 ohm
i = induced current
Using ohm's law
E = i R
2.93 x 10⁻⁴ = i (6)
i = 4.88 x 10⁻⁵ A
