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Chapter 20: Problem 4

Why should the test charge used to measure an electric field be small?

Short Answer

Expert verified
The test charge used to measure an electric field should be small to avoid distorting the field being measured. A larger charge would have its own electric field, which could interact with and alter the field being measured, leading to inaccurate results.

Step by step solution

01

Understand the concept of a test charge

A test charge is a positive unit charge that we imagine placing at a point in an electric field. The electric field is defined as the force exerted on this charge, divided by the magnitude of the charge itself represented as \(E = \frac{F}{q}\), where \(E\) is the electric field, \(F\) is the force, and \(q\) is the charge.
02

Understand how a large charge can distort an electric field

If a test charge is large, it has a strong electric field of its own. This field can interact with the field being measured, causing a distortion. Thus, to avoid this, the test charge should be small, so its effect on the field being measured is negligible.
03

Conclusion

So, the test charge used to measure an electric field should be small in order to minimize the distortion of the electric field being measured. If the charge is too large, it could significantly alter the field, leading to inaccurate measurements.

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