Get detailed and reliable answers to your questions on IDNLearn.com. Our experts provide prompt and accurate answers to help you make informed decisions on any topic.

Calculate the value of the voltage supply in the circuit below if the resistor has a value of [tex]4 \Omega[/tex] and the current through the resistor is [tex]2.5 A[/tex].

[tex]\[
\begin{array}{l}
V = R \times I \\
V = 4 \Omega \times 2.5 A \\
V = 10 V \\
\end{array}
\][/tex]


Sagot :

To find the value of the voltage supply in the given circuit with a resistor valued at [tex]\(4 \, \Omega\)[/tex] and a current of [tex]\(2.5 \, A\)[/tex] flowing through it, we can use Ohm's Law. Ohm's Law states that the voltage [tex]\(V\)[/tex] across a resistor is the product of the current [tex]\(I\)[/tex] flowing through the resistor and the resistance [tex]\(R\)[/tex] of the resistor. This can be mathematically represented as:

[tex]\[ V = R \times I \][/tex]

Given:
- Resistance ([tex]\(R\)[/tex]) = [tex]\(4 \, \Omega\)[/tex]
- Current ([tex]\(I\)[/tex]) = [tex]\(2.5 \, A\)[/tex]

Now, substituting the given values into Ohm's Law:

[tex]\[ V = 4 \, \Omega \times 2.5 \, A \][/tex]

[tex]\[ V = 10 \, V \][/tex]

Therefore, the value of the voltage supply in the circuit is [tex]\(10 \, V\)[/tex].