![3. (Biot-Savart for currents) A lightning bolt carries current I straight down toward the ground. You are standing a distance d away from the impact point along the +y axis. If the bolt originates at a height z h and terminates on the ground at z 0, (a) find a formula for the magnitude of the magnetic field you experience, and give its direction. [ Hint: this is almost the same as a derivation we did in class.] (b) Simplify your formula assuming that d <h. (c) How large is the field if I- 20,000 A, h= 1 km and d = 1 m?](http://img.homeworklib.com/questions/73c03120-67ec-11eb-aae1-2d316984ee50.png?x-oss-process=image/resize,w_560)
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3. (Biot-Savart for currents) A lightning bolt carries current I straight down toward the ground. You...
Magnetic Field from Current Segments ©2 of 3 Learning Goal: Review To apply the Biot-Savart law...
Magnetic Field from Current Segments ©2 of 3 Learning Goal: Review To apply the Biot-Savart law to find the magnetic field produced on the z axis from current elements in the xy plane. Submit In this problem you are to find the magnetic field component along the z axis that results from various current elements in the xy plane (i.e., at z = 0). Part F Find dB (0,0, 21), the z component of the magnetic field at the point...
3. Infinite conductor a) Consider a straight conductor (infinite length) which carries a total current I...
3. Infinite conductor a) Consider a straight conductor (infinite length) which carries a total current I in the direc- tion of the z axis. Calculate the magnetic induction Ē(7) using the Biot-Savart law. Hint The current density is given by j = 1S(x)6(y)ë^ b) Explicitly check the result from the previous task by calculating the magnetic induction B(F) using the symmetry of the problem and applying Stoke's theorem onto Maxwell's equation of magnetostatics V x B = 407 c) Now,...
a) Consider a straight conductor (infinite length) which carries a total curremt I in the direc-...
a) Consider a straight conductor (infinite length) which carries a total curremt I in the direc- tion of the z axis. Calculate the magnetic induction B(7) using the Biot-Savart law. Hint The current density is given by j = I8(x)6(y)ë^ b) Explicitly check the result from the previous task by calculating the magnetic induction B(F) using the symmetry of the problem and applying Stoke's theorem onto Maxwell's equation of magnetostatics V x B = HoJ. c) Now, consider a second...
Magnetic Field from Current Segments ©2 of 3 Learning Goal: Review To apply the Biot-Savart law to find the magnetic field produced on the z axis from current elements in the xy plane. Submit In this problem you are to find the magnetic field component along the z axis that results from various current elements in the xy plane (i.e., at z = 0). Part F Find dB (0,0, 21), the z component of the magnetic field at the point...
3. Infinite conductor a) Consider a straight conductor (infinite length) which carries a total current I in the direc- tion of the z axis. Calculate the magnetic induction Ē(7) using the Biot-Savart law. Hint The current density is given by j = 1S(x)6(y)ë^ b) Explicitly check the result from the previous task by calculating the magnetic induction B(F) using the symmetry of the problem and applying Stoke's theorem onto Maxwell's equation of magnetostatics V x B = 407 c) Now,...
a) Consider a straight conductor (infinite length) which carries a total curremt I in the direc- tion of the z axis. Calculate the magnetic induction B(7) using the Biot-Savart law. Hint The current density is given by j = I8(x)6(y)ë^ b) Explicitly check the result from the previous task by calculating the magnetic induction B(F) using the symmetry of the problem and applying Stoke's theorem onto Maxwell's equation of magnetostatics V x B = HoJ. c) Now, consider a second...
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