Question
A positive test charge of 1.0×10−6 C is placed in an electric field. The force on the test charge is 0.04 N. What is the electric field intensity at the location of the test charge?
Group of answer choices
4.0 x 105 N/C
4.0 x 104 N/C
3.0×10−5 N/C
6.0 x 104 N/C
Group of answer choices
4.0 x 105 N/C
4.0 x 104 N/C
3.0×10−5 N/C
6.0 x 104 N/C
Answers
GPT-4o mini
To find the electric field intensity (E) at the location of the test charge, you can use the formula:
\[
E = \frac{F}{q}
\]
where:
- \( E \) is the electric field intensity,
- \( F \) is the force on the test charge,
- \( q \) is the charge.
Given:
- \( F = 0.04 \, \text{N} \)
- \( q = 1.0 \times 10^{-6} \, \text{C} \)
Now, plug in the values:
\[
E = \frac{0.04 \, \text{N}}{1.0 \times 10^{-6} \, \text{C}} = \frac{0.04}{1.0 \times 10^{-6}} = 4.0 \times 10^4 \, \text{N/C}
\]
Therefore, the electric field intensity at the location of the test charge is:
\[
\boxed{4.0 \times 10^4 \, \text{N/C}}
\]
\[
E = \frac{F}{q}
\]
where:
- \( E \) is the electric field intensity,
- \( F \) is the force on the test charge,
- \( q \) is the charge.
Given:
- \( F = 0.04 \, \text{N} \)
- \( q = 1.0 \times 10^{-6} \, \text{C} \)
Now, plug in the values:
\[
E = \frac{0.04 \, \text{N}}{1.0 \times 10^{-6} \, \text{C}} = \frac{0.04}{1.0 \times 10^{-6}} = 4.0 \times 10^4 \, \text{N/C}
\]
Therefore, the electric field intensity at the location of the test charge is:
\[
\boxed{4.0 \times 10^4 \, \text{N/C}}
\]
Related Questions
a positive test charge of 3.0uC experiences a force of 0.75 N in an electric field. What is the magn...
A positive test charge of 6.00 µC is placed in an electric field, which exerts a force of 5.00 x 10-...
A positive test charge of 2.0×10^−4 C is placed in an electric field. The force on the test charge i...