The voltage across a resistor is found to be 1.5 V. It is also found that there is a charge of 2 Coulombs passing through the resistor withi

Question

The voltage across a resistor is found to be 1.5 V. It is also found that there is a charge of 2 Coulombs passing through the resistor withi

Question

The voltage across a resistor is found to be 1.5 V. It is also found that there is a charge of 2 Coulombs passing through the resistor within 10 seconds. What is the value of the resistor in ohms

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Physics Thu Cúc 1 year 2021-09-05T16:11:16+00:00 2021-09-05T16:11:16+00:00 1 Answers 6 views 0

Answers ( )

Eirian · Answer 1 · 2021-09-05T16:12:30+00:00

Answer:

R = 7.5 Ω

Explanation:

If the resistor is in the linear zone of operation, the resistance must obey Ohm’s Law:

[tex]V = I*R (1)[/tex]

By definition, the current flowing through the resistor, is equal to the charge passing through the resistor, per unit time.
So, we can write the following expression for the current I:

[tex]I =\frac{\Delta Q}{\Delta t} = \frac{2C}{10s} = 0.2 A (2)[/tex]

From (1) and (2) we can solve for R, as follows:

[tex]R =\frac{V}{I} = \frac{1.5V}{0.2A} = 7.5 \Omega[/tex]

The value of the resistor is 7.5 Ω.