High School

A series circuit contains three [tex]2 \, \Omega[/tex] resistors and a [tex]6 \, \Omega[/tex] resistor. The current in each resistor is [tex]4.0 \, A[/tex]. What is the voltage of the battery in the circuit?

A. [tex]2.0 \, V[/tex]
B. [tex]3.0 \, V[/tex]
C. [tex]32 \, V[/tex]
D. [tex]48 \, V[/tex]

Answer :

The voltage is a representation of the electric potential energy per unit charge.

The voltage across the circuit is 48 V. Option D shows the voltage across the circuit.

What is the voltage?

Voltage is defined as the difference in electric potential between two points.

Given that a series circuit contains three 2 Ω resistors and a 6 Ω resistor. The current in each resistor is 4.0 A.

The total resistance across the series circuit is given below.

[tex]R = R_1 + R_2 + R_3 + R_4[/tex]

Where R is total resistance, R1, R2, R3 and R4 are resistors that are connected in series.

[tex]R = 2+ 2+2+6[/tex]

[tex]R = 12 \;\rm ohm[/tex]

The resistors are connected in series hence the current flows across the two points of the circuit are the same which is 4.0 A.

The voltage across the circuit is,

[tex]V = IR[/tex]

[tex]V = 4.0 \times 12[/tex]

[tex]V = 48.0 \;\rm V[/tex]

Hence we can conclude that the voltage across the circuit is 48 V. Option D shows the voltage across the circuit.

To know more about the voltage, follow the link given below.

https://brainly.com/question/2364325.