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Volgvan
3 years ago
12

Two identical batteries, each with an emf of 18 V and an internal resistance of 1 :, are wired in parallel by connecting their p

ositive terminals together and connecting their negative terminals together. The combination is then wired across a 4-: resistor. The current in the 4-: resistor is:
Physics
1 answer:
bulgar [2K]3 years ago
8 0

Answer:

I = 4 A

Explanation:

When the batteries are connected in parallel, the voltage is the same as the voltage of each battery, but the internal resistance is less, in general we can assume that the internal resistance is also in parallel.

            1 / r_{eq} = 1 / r₁ + 1 / r₂ = 2 / r = 2/1

           r_{eq} = 0.5 ohm

The current in the resistor is

      V = I R + I r_{eq}

       I = V / R + r_{eq}

       I = 18 / (4 +0.5)

       I = 4 A

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A man walks along a straight path at a speed of 4 ft/s. A searchlight is located on the ground 6 ft from the path and is kept fo
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We are given that,

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Solving a series circuit, did I do this correctly? ​
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  • The total resistance in the circuit is 16 Ohms.
  • The total current in the circuit is 0.5 Ampere.
  • The current at R_1 is 0.5 Ampere.
  • The current at R_3 is 0.5 Ampere.
  • The voltage drop atR_1 is 4 volts.
  • The voltage drop at R_2 is 2.5  volts.
  • The voltage drop at R_3 is 1.5 volts.
  • The total power consumed by the circuit is 4watts
  • The power consumed at R_1 is 2 watts
  • The power consumed at R_2 is 1.25 watts

Given:

The voltage across the circuit = V = 8 V

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To find:

The values of from 1 to 10.

Solution

The voltage across the circuit = V = 8 V

  • The total resistance in the circuit  = R_{eq}

R_{eq}=R_1+R_2+R_3\\=8 \Omega +5 \Omega + 3\Omega =16\omega

  • The total current in the circuit = I

V=IR_{eq}\\I=\frac{V}{R_{eq}}=\frac{8 V}{16 \Omega}=0.5 A (Ohm's law)

  • For series combinations, the current in each resistor remains the same.

So, the current in R_1, R_2 \&R_3:

I_1= I_2= I_3=I=0.5 A\\

  • The voltage drop across at R_1 = V_1

The current across  R_1 = I = 0.5 A

V_1=I\times R_1\\\\=0.5A\times 8\Omega = 4 V

  • The voltage drop across at R_2 =V_2

The current across  R_2 = I = 0.5 A

V_2=I\times R_2\\\\=0.5A\times 5\Omega = 2.5 V

  • The voltage drop across at R_3 = V_3

The current across  R_3 = I = 0.5 A

V_3=I\times R_3\\\\=0.5A\times 3\Omega = 1.5 V

  • The total power consumed by circuit:

P= V\times I \\\\= 0.5 A\times 8 V = 4 watt

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P_1=V_1\times I\\\\= 4V\times 0.5A = 2 watt

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P_2=V_2\times I\\\\= 2.5 V\times 0.5A = 1.25 watt

  • Power consumed at R_3:

P_3=V_3\times I= \\\\1.5 V\times 0.5A = 0.75 watt

Learn more about, current, voltage, resistance, and power of the circuit here:

brainly.com/question/11683246?referrer=searchResults

brainly.com/question/1430450?referrer=searchResults

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