Question

P9.62_7ed use the mesh method and find the following currents:

Answer 1

To find the currents using the mesh method, we need to apply Kirchhoff's junction rule and Kirchhoff's loop rule. Using these rules, we can obtain equations for the currents and then solve them to find the values of the currents. Finally, substitute the given values into the equations to calculate the currents.

Step-by-step explanation:

To find the currents using the mesh method, we need to apply Kirchhoff's junction rule and Kirchhoff's loop rule.

1. Junction Rule at Point A: The sum of incoming currents is equal to the sum of outgoing currents. Apply this rule at point A to obtain the equation for I1.
2. Loop Rule - Upper Loop: Assign currents in both loops and apply the loop rule to obtain the equation for I1, I2, and I3.
3. Loop Rule - Lower Loop: Repeat step 2 for the lower loop to obtain the equation for I1, I2, and I3.
4. Calculate the currents: Substitute the values of R1, R2, R3, r1, E1, and E2 from part(c) into the equations obtained in steps 2 and 3. Solve the equations to find the values of I1, I2, and I3.