If R total equals 2.857 ohms and I total equals 7A, what is V1 given I1 equals 2A?

If R total equals 2.857 ohms and I total equals 7A, what is V1 given I1 equals 2A?

• A. 8V
• B. 15V
• C. 20V
• D. 25V

Answer: (C)

To find \( V_1 \) given that \( R_{\text{total}} = 2.857 \, \Omega \), \( I_{\text{total}} = 7 \, A \), and \( I_1 = 2 \, A \), you can start by applying Ohm's Law, which states that \( V = I \times R \). First, calculate the total voltage (\( V_{\text{total}} \)) across the entire circuit using the formula: \[ V_{\text{total}} = I_{\text{total}} \times R_{\text{total}} = 7 \, A \times 2.857 \, \Omega = 20 \, V. \] Next, you want to determine the voltage \( V_1 \) corresponding to the branch where \( I_1 \) (the current through this branch) is 2A. This can also be derived using Ohm's Law. However, since we know the total voltage: \[ V_1 = \frac{I_1}{I_{\text{total}}} \times V_{\text{total}} = \frac{2 \, A}{7 \, A} \

To find ( V_1 ) given that ( R_{\text{total}} = 2.857 , \Omega ), ( I_{\text{total}} = 7 , A ), and ( I_1 = 2 , A ), you can start by applying Ohm's Law, which states that ( V = I \times R ).

First, calculate the total voltage (( V_{\text{total}} )) across the entire circuit using the formula:

[

V_{\text{total}} = I_{\text{total}} \times R_{\text{total}} = 7 , A \times 2.857 , \Omega = 20 , V.

]

Next, you want to determine the voltage ( V_1 ) corresponding to the branch where ( I_1 ) (the current through this branch) is 2A. This can also be derived using Ohm's Law. However, since we know the total voltage:

[

V_1 = \frac{I_1}{I_{\text{total}}} \times V_{\text{total}} = \frac{2 , A}{7 , A} \