Calculate the voltage and current across resistors

Calculate the voltage and current Assignment Answers Needed

Your Question:

R₁= 1.2 KΩ

R₂= 3.3 KΩ

1. Calculate the total resistance of the circuit.

Since the resistors are connected in series, the total resistance of the circuit is equal to the sum of the individual resistances:

Ohm's law can be used to calculate the current through the circuit:

I = V / R

Therefore, the current through the circuit is:

I = 9 V / 19.5 KΩ = 0.46 mA

• VR is the voltage across the resistor in volts (V)

• I is the current through the resistor in amperes (A)

• VR3 = I * R3 = 0.46 mA * 15 KΩ = 6.90 V

To calculate the resistance, current, and voltage across AB, AC, and BC:

Therefore, the resistance across AC is:

R_AC = 1 / (1 / 1.2 KΩ + 1 / 3.3 KΩ) = 4.5 KΩ

• The current through AC is the sum of the currents through R1 and R2. Therefore, the current through AC is 0.46 mA + 0.46 mA = 0.92 mA.

• The current through BC is the sum of the currents through R2 and R3. Therefore, the current through BC is 0.46 mA + 0.46 mA = 0.92 mA.

Conclusion:

The voltage and current across resistors R1, R2, and R3 are as follows:

• AB: 1.2 KΩ, 0.46 mA, 0.552 V

• AC: 4.5 KΩ, 0.92 mA, 9 V