Consider current passing through a resistor of radius , length , and resistance .
a. Determine the electric and magnetic fields at the surface of the resistor. Assume that the electric field is uniform throughout, including at the surface.
b. Determine the strength and direction of the Poynting vector at the surface of the resistor.
c. Show that the flux of the Poynting vector (i.e., the integral of ) over the surface of the resistor is . Then give an interpretation of this result.
a) The electric and magnetic fields at the surface of the resistor,
b) The strength and direction of the Poynting vector at the surface of the resistor,
c)The flux of the Poynting vector over the surface of the resistor,
The charge changes with respect to time is,
Charge enclosed is,
By above equation,
Using ohms law,
Poynting vector shown as,
By above equation, you got
Multiplication of electric field and magnetic field of resistors gives flux of the poynting vector,
A proton is fired with a speed of through the parallel-plate capacitor shown in FIGURE . The capacitor's electric field is .
a. What magnetic field , both strength and direction, must be applied to allow the proton to pass through the capacitor with no change in speed or direction?
b. Find the electric and magnetic fields in the proton's reference frame.
c. How does an experimenter in the proton's frame explain that the proton experiences no force as the charged plates fly by?
94% of StudySmarter users get better grades.Sign up for free