Question

Problem 10

A.

Consider four charges assembled in a square pattern as shown in the figure below. What is the direction and magnitude of the net force on charge qi due to the other three charges? 1.0 m 921 C 1.0 m 1.0 m 1.0 m

B.

Consider the configuration of four charges shown in the figure below. What is the net force on the 5.0 μC charge due to the other charges shown? 6.0 μC 3.0 m 3.0 m 3.0 m

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Answer #1

A. Calculate the force on qi due to other charges individually. The expression for force between two charges is: 4A2 순 r is the distance between two charges ? is the unit position vector Force on qi due to q2:

4TtE (1 m) (9x10% N.C-*)(1x10-6 C)(1x 10° C)(-) 9x103 N(- Force on qi due to -j

4139 (1 m) -(9x10 N C)(1x10 )(x10 c)G) 29x10-3 N (j) Force on qi due to q4

-0707i +0707j (1uC)(-2 uC) (0.707i+0.707)) (Im) +(1m) (9x10, Ν.nn 2 . C.*)(1x 10 )(-2x10°C (9x10° N)(-070% +0.707 6.365x103 N(i-j) (1x10 C)(-2x10 c) 3

Net force -9x10 N-)+9x10 N)+6365x10 N(i-) 2.635 x10 N(-+2635x 10 N() 2635 x10 N(+) Magnitude: 263510 N (2635*101N) 3.73x10 N 3,73 mN Direction:

2.635x10-3 N -2.635x10 N tan θ 6-45 The direction of force is towards left and upwards

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