1 Find the emf E1 in the circuit of the figure.

2. Find the emf E2 in the circuit of the figure.

3. Find the potential difference of point b relative to point a.

1.00Ω 20.0V 6.00 (2 +11 -MA 1.00 A 1.00 Ω 4.00 Ω 2.00 All 1.00 Ω 2.0012

The top branch is essentially 7 ohms, a 20 volt source, and 1 amp flowing to the left.
The middle branch is essentially 5 ohms, a V1 volt source and 1 amp flowing to the left.
The bottom branch is essentially 3 ohms, a V2 volt source, and 2 amps flowing to the right.

1)
The top loop voltage from the upper right corner:

+20V - 7ohm*1amp + 5ohm*1amp -V1 = 0 so V1 = 18 volts.

2)

The outer loop voltage from the upper right corner:

+20V - 7ohm*1amp - 3ohm*2amp -V2 = 0 so V2 = 7 volts