Question

Q3. A small metal sphere X with a negative charge of 2.5uC is 1.2 cm directly to the left of another similar neutral sphere Y (no charge). The third sphere Z with a charge of -4uC is 1.2 cm directly below sphere Y. The three spheres are at the vertices of a right triangle, with sphere Y at the right angle. Calculate the net electric field strength on sphere Y. (Read Example 10.5&11.3 on textbook) 2.5 MC

Answer 1

Electric field due to g_1 E_1 = k g_1/a^2 E_1 = 9 times 10^9 times 2.5 times 10^-6/0.0122 E_1 = 156250000 N/C electric field due to g_2, E_2 = kg_2/a^2 rightdoublearrow E_2 = 9 times 10^9 times 4 times 10^-6/0.0122 rightdoublearrow E_2 = 250000000 N/C Net electric field rightdoublearrow E_Net = squareroot E^2_1 + E^2_2 E_Net = squareroot 156250000^2 + 250000000^2 E_Net = 294811910.4 N/C