An electric field is restricted to a circular area of diameter d = 10.3 cm as shown in the figure. Eout •P

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An electric field is restricted to a circular area of diameter d = 10.3 cm as shown in the figure.
Éout
•P
At the instant shown, the field direction is out of the page, its magnitude is 300 V/m, and its magnitude is increasing at a
rate of 21.4 V/(m. s).
(a) What is the direction of the magnetic field at the point P, r = 15.1 cm from the center of the circle?
upwards
downwards
(b) What is the magnitude of the magnetic field (in T) at the point P, r = 15.1 cm from the center of the circle?
1.51*10**-16
X
Apply the extended form of Ampere's law. Note that I = 0 in this case. What is the electric flux? What is the rate of
change of the electric flux? T
(c) What If? As before, at the moment shown in the figure, the electric field within the circle has a magnitude of
300 V/m and is increasing at a rate of 21.4 V/(ms). In addition, suppose that the radius of the circular area of the
electric field increases at a rate of 1.00 cm/s. What would the magnitude of the magnetic field be at point P at this
moment (in T)?
7.89*10**-17
X
Follow the same procedure as in part (b), but note now the flux changes in both the magnitude of the electric field
and the area. How do you take this into account when finding the derivative of the flux? T
Transcribed Image Text:An electric field is restricted to a circular area of diameter d = 10.3 cm as shown in the figure. Éout •P At the instant shown, the field direction is out of the page, its magnitude is 300 V/m, and its magnitude is increasing at a rate of 21.4 V/(m. s). (a) What is the direction of the magnetic field at the point P, r = 15.1 cm from the center of the circle? upwards downwards (b) What is the magnitude of the magnetic field (in T) at the point P, r = 15.1 cm from the center of the circle? 1.51*10**-16 X Apply the extended form of Ampere's law. Note that I = 0 in this case. What is the electric flux? What is the rate of change of the electric flux? T (c) What If? As before, at the moment shown in the figure, the electric field within the circle has a magnitude of 300 V/m and is increasing at a rate of 21.4 V/(ms). In addition, suppose that the radius of the circular area of the electric field increases at a rate of 1.00 cm/s. What would the magnitude of the magnetic field be at point P at this moment (in T)? 7.89*10**-17 X Follow the same procedure as in part (b), but note now the flux changes in both the magnitude of the electric field and the area. How do you take this into account when finding the derivative of the flux? T
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