Question

The circuit diagram below represents four resistors connected to a 12-volt potential source. What is the current in the circuit?8.6 A0.5 A2.0 A24 A

Answer 1

The current in the circuit is 0.5 A..

Given data:

The voltage of the battery is V=12 V.

The resistances are,

`\begin{gathered} R_1=4\text{ }\Omega \\ R_2=6\text{ \Omega} \\ R_3=8\text{ \Omega} \\ R_4=6\text{ }\Omega \end{gathered}`

The voltage of the battery is V=12 V.

The equivalent resistance of the given series connection of resistances can be calculated as,

`\begin{gathered} R=R_1+R_2+R_3+R_4 \\ R=4+6+8+6 \\ R=24\text{ }\Omega \end{gathered}`

Applying the Ohm's law to calculate the current in the circuit as,

`\begin{gathered} V=IR \\ (12)=I(24) \\ I=0.5\text{ A} \end{gathered}`

Thus, the current in the circuit is 0.5 A.