Question

How would the electric field strength change in these cases?

1) The electric field strength would double.
2) The electric field strength would triple.
3) The electric field strength would remain the same.
4) The electric field strength would be halved.
5) The electric field strength would be reduced by half.

Answer 1

1) The electric field strength would double.

2) The electric field strength would triple.

3) The electric field strength would remain the same.

4) The electric field strength would be halved.

5) The electric field strength would be reduced by half.

Step-by-step explanation:

The electric field strength
`(\(E\))` is directly related to the charge
`(\(Q\))` and inversely related to the distance
`(\(r\))` from the charge. The formula is given by
`\(E = (kQ)/(r^2)\)`, where
`\(k\)` is Coulomb's constant. Analyzing the given scenarios:

1) Doubling the charge
`(\(Q\))` while keeping the distance constant
`(\(r\))`would result in the electric field strength doubling, as
`\(E \propto Q\).`

2) Tripling the charge while keeping the distance constant would result in the electric field strength tripling.

3) If neither the charge nor the distance changes, the electric field strength remains the same.

4) Halving the charge while keeping the distance constant would result in the electric field strength being halved.

5) Reducing the distance from the charge by half while keeping the charge constant would also result in the electric field strength being reduced by half, as
`\(E \propto (1)/(r^2)\).`

In summary, changes in electric field strength are influenced by alterations in charge and distance according to the inverse square law. Doubling or tripling the charge increases the electric field strength, while halving the charge or reducing the distance decreases it. If neither charge nor distance changes, the electric field strength remains constant.