A charged sphere with 1 * 10 8 units of negative charge is brought near a neutral metal rod. The half of the rod closer to the sphere has a surplus charge of 4 * 10 4 units. What is the charge on the half of the rod farther from the sphere? 0 - 1 * 10 8 1 * 10 8 - 4 * 10 4 4 * 10 4

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Physics

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20 February, 03:35

A charged sphere with 1 * 10 8 units of negative charge is brought near a neutral metal rod. The half of the rod closer to the sphere has a surplus charge of 4 * 10 4 units. What is the charge on the half of the rod farther from the sphere? 0 - 1 * 10 8 1 * 10 8 - 4 * 10 4 4 * 10 4

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Jonathan Bentley · Answer 1

-4*10⁴ units.

Explanation:

As the metal rod was initially neutral (which means that it has the same quantity of positive and negative charges), after being close to the charged sphere, as charge must be conserved, the total charge of the metal rod must still remain to be zero.

So, if due to the influence of the negative charge in the sphere, the half of the road closer to the sphere has a surplus charge of + 4*10⁴ units, the charge on the half of the rod farther from the sphere must be the same in magnitude but of the opposite sign, i. e., - 4*10⁴ units.