We read your photo as:

Given R1 = 6 and R2 = 12 .

Mathematics

ScanSolve AI Answer

Answer

3 A\text{3 A}

Step-by-step solution

2 steps
  1. Calculate the equivalent resistance (ReqR_{eq}) of the two parallel resistors.

    The formula for two resistors in parallel is:

    Req=R1×R2R1+R2R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2}

    Given R1=6 ΩR_1 = 6 \text{ } \Omega and R2=12 ΩR_2 = 12 \text{ } \Omega.

    Req=6 Ω×12 Ω6 Ω+12 ΩR_{eq} = \frac{6 \text{ } \Omega \times 12 \text{ } \Omega}{6 \text{ } \Omega + 12 \text{ } \Omega} Req=72 Ω218 ΩR_{eq} = \frac{72 \text{ } \Omega^2}{18 \text{ } \Omega} Req=4 ΩR_{eq} = 4 \text{ } \Omega
  2. Calculate the total electric current (II) using Ohm's Law.

    Ohm's Law states V=I×ReqV = I \times R_{eq}, so I=VReqI = \frac{V}{R_{eq}}.
    Given the voltage V=12 VV = 12 \text{ V} and the equivalent resistance Req=4 ΩR_{eq} = 4 \text{ } \Omega.

    I=12 V4 ΩI = \frac{12 \text{ V}}{4 \text{ } \Omega} I=3 AI = 3 \text{ A}

    The total electric current is 3 A\text{3 A}.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp