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At a particular point, electric field d...

At a particular point, electric field depends upon

A

source charge Q only

B

test charge `q_(0)` only

C

both Q and `q_(0)`

D

neither Q nor `q_(0)`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding what the electric field at a particular point depends upon, we can break down the reasoning step by step: ### Step-by-Step Solution: 1. **Understanding Electric Field**: The electric field (\(E\)) at a point in space is defined as the force (\(F\)) experienced by a unit positive test charge (\(Q_0\)) placed at that point. Mathematically, it is expressed as: \[ E = \frac{F}{Q_0} \] 2. **Source Charge**: The electric field is generated by a source charge (\(Q\)). This charge creates an electric field around it, which can be calculated using Coulomb's law. The electric field due to a point charge is given by: \[ E = k \frac{Q}{r^2} \] where \(k\) is Coulomb's constant, \(Q\) is the source charge, and \(r\) is the distance from the charge to the point where the field is being calculated. 3. **Role of Test Charge**: The test charge (\(Q_0\)) is used to measure the electric field but does not influence the electric field itself. It is a hypothetical charge placed in the field to determine the force acting on it. The presence of the test charge does not change the electric field produced by the source charge. 4. **Conclusion**: Therefore, the electric field at a particular point depends solely on the source charge \(Q\) and not on the test charge \(Q_0\). Hence, the correct answer to the question is that the electric field depends only on the source charge \(Q\). ### Final Answer: The electric field at a particular point depends only on the source charge \(Q\). ---

To solve the question regarding what the electric field at a particular point depends upon, we can break down the reasoning step by step: ### Step-by-Step Solution: 1. **Understanding Electric Field**: The electric field (\(E\)) at a point in space is defined as the force (\(F\)) experienced by a unit positive test charge (\(Q_0\)) placed at that point. Mathematically, it is expressed as: \[ E = \frac{F}{Q_0} ...
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