The current through two resistors in series is 3 A. Resistance #1 is 50 ohms, resistance #2 drops 50 V across its terminals. What is the total voltage?

The current through two resistors in series is 3 A. Resistance #1 is 50 ohms, resistance #2 drops 50 V across its terminals. What is the total voltage?

• A. 200 V
• B. 220 V
• C. 110 V
• D. 180 V

Answer: (A)

To determine the total voltage in a circuit with two resistors in series, understanding Ohm's Law is essential. According to Ohm's Law, voltage (V) can be calculated using the formula V = I * R, where I is the current and R is the resistance. In this situation, the current flowing through both resistors is consistent at 3 A since they are in series. Given that resistance #1 is 50 ohms, we can calculate the voltage drop across this resistor using the formula: Voltage drop across resistance #1 = I * R = 3 A * 50 ohms = 150 V. For resistance #2, it is specified that the voltage drop across its terminals is 50 V. Now, to find the total voltage supplied to the circuit, we need to sum the voltage drops across both resistors: Total Voltage = Voltage drop across resistance #1 + Voltage drop across resistance #2 Total Voltage = 150 V + 50 V = 200 V. This is why the correct answer is 200 V, as it represents the total voltage needed to drive a current of 3 A through both resistors, accounting for the voltage drop across each one.

To determine the total voltage in a circuit with two resistors in series, understanding Ohm's Law is essential. According to Ohm's Law, voltage (V) can be calculated using the formula V = I * R, where I is the current and R is the resistance.

In this situation, the current flowing through both resistors is consistent at 3 A since they are in series. Given that resistance #1 is 50 ohms, we can calculate the voltage drop across this resistor using the formula:

Voltage drop across resistance #1 = I * R = 3 A * 50 ohms = 150 V.

For resistance #2, it is specified that the voltage drop across its terminals is 50 V.

Now, to find the total voltage supplied to the circuit, we need to sum the voltage drops across both resistors:

Total Voltage = Voltage drop across resistance #1 + Voltage drop across resistance #2

Total Voltage = 150 V + 50 V = 200 V.

This is why the correct answer is 200 V, as it represents the total voltage needed to drive a current of 3 A through both resistors, accounting for the voltage drop across each one.