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The ebctrostatic force b/w two identical charges is 0.9N. Distance b/w the changes is 10m. Find the magnitute of each change?
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The ebctrostatic force b/w two identical charges is 0.9N. Distance b/w...
Calculating the Magnitude of Each Charge
To find the magnitude of each charge, we can use Coulomb's law formula:
\[ F = \frac{{k \cdot q_1 \cdot q_2}}{{r^2}} \]
Where:
- \( F \) is the electrostatic force (0.9N)
- \( k \) is the Coulomb's constant (\( 8.9875 \times 10^9 \, Nm^2/C^2 \))
- \( q_1 \) and \( q_2 \) are the magnitudes of the charges
- \( r \) is the distance between the charges (10m)
Solving for the Magnitude of Each Charge
Plugging in the given values, we get:
\[ 0.9 = \frac{{8.9875 \times 10^9 \cdot q_1 \cdot q_2}}{{10^2}} \]
Simplifying further:
\[ 0.9 = 8.9875 \times 10^8 \cdot q_1 \cdot q_2 \]
Since the charges are identical, we can let \( q_1 = q_2 = q \):
\[ 0.9 = 8.9875 \times 10^8 \cdot q^2 \]
Solving for \( q \):
\[ q = \sqrt{\frac{0.9}{8.9875 \times 10^8}} \]
\[ q = \sqrt{1 \times 10^{-9}} \]
\[ q = 1 \times 10^{-4} \, C \]
Therefore, the magnitude of each charge is \( 1 \times 10^{-4} \, C \).
To find the magnitude of each charge, we can use Coulomb's law formula:
\[ F = \frac{{k \cdot q_1 \cdot q_2}}{{r^2}} \]
Where:
- \( F \) is the electrostatic force (0.9N)
- \( k \) is the Coulomb's constant (\( 8.9875 \times 10^9 \, Nm^2/C^2 \))
- \( q_1 \) and \( q_2 \) are the magnitudes of the charges
- \( r \) is the distance between the charges (10m)
Solving for the Magnitude of Each Charge
Plugging in the given values, we get:
\[ 0.9 = \frac{{8.9875 \times 10^9 \cdot q_1 \cdot q_2}}{{10^2}} \]
Simplifying further:
\[ 0.9 = 8.9875 \times 10^8 \cdot q_1 \cdot q_2 \]
Since the charges are identical, we can let \( q_1 = q_2 = q \):
\[ 0.9 = 8.9875 \times 10^8 \cdot q^2 \]
Solving for \( q \):
\[ q = \sqrt{\frac{0.9}{8.9875 \times 10^8}} \]
\[ q = \sqrt{1 \times 10^{-9}} \]
\[ q = 1 \times 10^{-4} \, C \]
Therefore, the magnitude of each charge is \( 1 \times 10^{-4} \, C \).
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The ebctrostatic force b/w two identical charges is 0.9N. Distance b/w the changes is 10m. Find the magnitute of each change?
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The ebctrostatic force b/w two identical charges is 0.9N. Distance b/w the changes is 10m. Find the magnitute of each change? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The ebctrostatic force b/w two identical charges is 0.9N. Distance b/w the changes is 10m. Find the magnitute of each change? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ebctrostatic force b/w two identical charges is 0.9N. Distance b/w the changes is 10m. Find the magnitute of each change?.
The ebctrostatic force b/w two identical charges is 0.9N. Distance b/w the changes is 10m. Find the magnitute of each change? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The ebctrostatic force b/w two identical charges is 0.9N. Distance b/w the changes is 10m. Find the magnitute of each change? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ebctrostatic force b/w two identical charges is 0.9N. Distance b/w the changes is 10m. Find the magnitute of each change?.
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