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

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} \