In the figure a uniform electric field is directed out of the page within a circ
ID: 1913601 • Letter: I
Question
In the figure a uniform electric field is directed out of the page within a circular region of radius R = 3.50 cm. The magnitude of the electric field is given by E = ( 5.00 10-3 V/ms)t, where t is in seconds. What is the magnitude of the magnetic field that is induced at radial distances (a) 2.50 cm and (b) 7.00 cm?
In the figure a uniform electric field is directed out of the page within a circular region of radius R = 3.50 cm. The magnitude of the electric field is given by E = ( 5.00 10-3 V/ms)t, where t is in seconds. What is the magnitude of the magnetic field that is induced at radial distances (a) 2.50 cm and (b) 7.00 cm?Explanation / Answer
a)r=2.5cm =0.025m
area A=r2=*0.0252
the displacement current is
Id =o(dE/dt) =oA(dE/dt)
Id =8.85*10-12*(*0.0252)(5*10-3) =8.69*10-17A
B=oID/2r =(4*10-7)(8.69*10-17)/(2*0.025)
B=6.95*10-22T
b)r=7cm =0.07m
area A=r2=*0.072
the displacement current is
Id =o(dE/dt) =oA(dE/dt)
Id =8.85*10-12*(*0.072)(5*10-3) =6.81*10-16A
B=oID/2r =(4*10-7)(6.81*10-16)/(2*0.07)
B=1.95*10-21T or 19.5*10-22T
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