To find the electromotive force (E) in the circuit, we can use Ohm's law and the concept of total resistance in the circuit. Based on the given values:
- Current \( I = 3 \) A
- Resistance \( R = 15 \) Ω (load resistance)
- Internal resistance \( r = 0.1 \) Ω (internal resistance of the source)
The total resistance \( R_{\text{total}} \) in the circuit is the sum of the load resistance \( R \) and the internal resistance \( r \):
\[ R_{\text{total}} = R + r = 15 \, \Omega + 0.1 \, \Omega = 15.1 \, \Omega \]
Now, according to Ohm's law, the voltage (or electromotive force, \( E \)) can be calculated using the formula:
\[ E = I \times R_{\text{total}} \]
Substituting the known values:
\[ E = 3 \, A \times 15.1 \, \Omega = 45.3 \, V \]
Thus, the electromotive force \( E \) is:
\[ E = 45.3 \, V \]