We read your photo as:

What does this electronic symbol represent?

Physics

ScanSolve AI Answer

Answer

1.5 A

Step-by-step solution

7 steps
  1. Identify the circuit configuration from the diagram.

    It appears to be a series-parallel circuit with a voltage source at the bottom (12 V battery), two 4 Ω resistors in parallel on the upper branch, and a 6 Ω resistor in series with that combination.

  2. Calculate the equivalent resistance of the parallel branch.

    Formula: 1Rp=1R1+1R2\frac{1}{R_p} = \frac{1}{R_1} + \frac{1}{R_2}

    Substitute: 1Rp=14 Ω+14 Ω=12 Ω−1\frac{1}{R_p} = \frac{1}{4 \, \Omega} + \frac{1}{4 \, \Omega} = \frac{1}{2 \, \Omega^{-1}}

    Simplify: Rp=2 ΩR_p = 2 \, \Omega

  3. Add the series resistor for total resistance.

    Formula: Rtotal=Rp+RsR_\text{total} = R_p + R_s

    Substitute: Rtotal=2 Ω+6 Ω=8 ΩR_\text{total} = 2 \, \Omega + 6 \, \Omega = 8 \, \Omega

  4. Calculate total current from the battery.

    Formula: Itotal=VRtotalI_\text{total} = \frac{V}{R_\text{total}}

    Substitute: Itotal=12 V8 Ω=1.5 AI_\text{total} = \frac{12 \, \text{V}}{8 \, \Omega} = 1.5 \, \text{A}

  5. Voltage drop across series resistor.

    Formula: Vs=Itotal×RsV_s = I_\text{total} \times R_s

    Substitute: Vs=1.5 A×6 Ω=9 VV_s = 1.5 \, \text{A} \times 6 \, \Omega = 9 \, \text{V}

  6. Voltage drop across parallel branch.

    Vp=12 V−9 V=3 VV_p = 12 \, \text{V} - 9 \, \text{V} = 3 \, \text{V}
  7. Current through each parallel resistor.

    Formula: I=VpRI = \frac{V_p}{R}

    Substitute for each: I1=I2=3 V4 Ω=0.75 AI_1 = I_2 = \frac{3 \, \text{V}}{4 \, \Omega} = 0.75 \, \text{A}

    Total current = 1.5 A, V across 6 Ω = 9 V, I through each 4 Ω = 0.75 A

    1.5 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