1) A) A charge of +1.00 C is located at the origin and a second charge of 2.00 C

Question

1) A) A charge of +1.00 C is located at the origin and a second charge of 2.00 C is located on the x–y plane at the point (30.0 cm,20.0 cm). Determine the electric force exerted by the 2.00 C charge on the 1.00 C charge. ( I figured out that x is 115e-3 but i need the y direction as well)

B) A 3.80 C charge sits in static equilibrium in the center of a conducting spherical shell that has an inner radius 2.97 cm and an outer radius 3.97 cm. The shell has a net charge of 6.27 C. Determine the charge on each surface of the shell and the electric field just outside the shell. Find the magnitude of electric field just outside the shell.

C) An electron with an initial speed of 4.0 105 m/s enters a region in which there is an electric field directed along its direction of motion. If the electron travels 4.0 cm in the field before being stopped, what are the magnitude and direction of the electric field? (Assume that the electron is traveling in the +x direction.)

i) The electric field has a magnitude of 11.4 N/C and points towards -x.

ii) The electric field has a magnitude of 2.00 N/C and points towards -x.

iii) The electric field has a magnitude of 2.00 N/C and points towards +x.

iv) The electric field has a magnitude of 11.4 N/C and points towards +x.

Explanation / Answer

Here ,

for 1 uc Charge ,

distance between charges , d = sqrt(30^2 + 20^2)

d = 36.1 cm

angle of force with x -axis = arctan(20/30)

angle of force with x -axis , theta = 33.7 degree

Now, electric force between charges , F = k * q1 *q2/d^2

F = 9 *10^9 * 1 *10^-6 * 2 *10^-6/0.361^2

F = 0.138 N

Now, force = 0.138 * (cos(33.7 ) i + j * sin(33.7))

F = 0.115 i + 0.0766 j N

the force acting on the charge 1 uC is 0.115 i + 0.0766 j N

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