For the circuit shown below with a 12.0 V battery, find the total current through the battery and the current through each resistor with the following resistances: R1=5.0 Ohms, R2=10.0 Ohms, R3=15.0 Ohms, R4=33.0 Ohms. Show all your work!

For the circuit shown below with a 120 V battery find the total current through the battery and the current through each resistor with the following resistances class=

Respuesta :

The total current through the battery is 4.77 A.

The current through resistor R1 is 2.4 A.

The current through resistor R2 is 1.2 A

The current through resistor R3 is 0.8 A

The current through resistor R4 is 0.36 A.

Total resistance of the circuit

The total resistance of the circuit is calculated as follows;

1/Rt = 1/R₁ + 1/Rā‚‚ + 1/Rā‚ƒ + 1/Rā‚„

1/Rt = 1/5 + 1/10 + 1/15 + 1/33

1/Rt = 0.397

Rt = 1/0.397

Rt = 2.518 ohms

Total current flowing in the circuit

I = V/Rt

I = 12/2.518

I = 4.77 A

Current in resistor R₁

I₁ = V/R₁

I₁ = 12/5

I₁ = 2.4 A

Current in resistor Rā‚‚

Iā‚‚ = 12/10

Iā‚‚ = 1.2 A

Current in resistor Rā‚ƒ

Iā‚ƒ = 12/15

Iā‚ƒ = 0.8 A

Current in resistor Rā‚„

Iā‚„ = 12/33

Iā‚„ = 0.36 A

Thus, the total current through the battery is 4.77 A.

The current through resistor R1 is 2.4 A.

The current through resistor R2 is 1.2 A

The current through resistor R3 is 0.8 A

The current through resistor R4 is 0.36 A.

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