Answer:
The correct option is a) halved
Therefore,
Current through the resistor will be halved i.e
[tex]I'=\dfrac{1}{2}\times I[/tex]
Explanation:
Given:
V = Voltage potential Difference constant
R' = 2R
To Find:
Current, I' = ? when R' = 2R
Solution:
Ohm's law:
Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points.
Ohm's law given as
[tex]Voltage=Current\times Resistance\\V=IR[/tex]
[tex]I=\dfrac{V}{R}[/tex]
Substituting the R' = 2R , new current we get
[tex]I'=\dfrac{V}{R'}=\dfrac{V}{2R}=\dfrac{1}{2}\times \dfrac{V}{R}=\dfrac{1}{2}\times I[/tex]
Therefore,
Current through the resistor will be halved i.e
[tex]I'=\dfrac{1}{2}\times I[/tex]
If the resistance of the resistor is doubled, the current through the resistor is halved.
Ohms law states that the potential difference (V) is directly proportional to the current (I) flowing through it at constant temperature. That is:
V ∝ I
V = IR
Where R is resistance.
I = V/R
If the resistance is doubled:
I' = V/(2R) = (1/2) * I = 0.5I
If the resistance of the resistor is doubled, the current through the resistor is halved.
Find out more on ohms law at: https://brainly.com/question/14296509
