Answer: 2.26x10^-4 v
Explanation:
Lenght of the selonoid = 24x10^-2m
Diameter of the selonoid = 2.3cm
The radius will then be = 1.15cm = 1.15x10^-2m
The area of the selonoid = ¶r^2 = 3.142 x (1.15x10^-2)^2 = 0.000415m^2.
Number of turns on selonoid N1 is 750
For the small center coil, number of turns N2 is 19.
There is a change in current dI/dt from 0 to 5.1 in 0.7s, dI/dt = (5.1-0)/0.7
dI/dt = 7.29A/s.
Induced EMF on selonoid due to magnetic Flux due to changing current in small coil is given as;
E = -M(dI/dt), where M is the mutual inductance of the coils.
but M = (u°AN1N2)/L, where u°= 4¶x10^-7,
A = area of selonoid,
L = Lenght of selonoid.
M = (4¶X10^-7X0.000415X750X19)/(24X10^-2)
M = 3.096X10^-5H
Induced EMF E = 3.096X10^-5 x 7.29
E = 2.26x10^-4V
