1. **Problem Statement:** Calculate the applied voltage $V_T$ in the circuit of Fig. 2, which has two resistors $R_1$ and $R_2$ and two voltage sources of 25V and 15V arranged as described. 2. **Understanding the Circuit:** The 25V source is in series with $R_1$, and $R_1$ is in series with $R_2$. The 15V source is in parallel with $R_2$. We want the total voltage $V_T$ across the entire series arrangement. 3. **Key Concept:** In series circuits, voltages add algebraically. The total voltage $V_T$ is the sum of the voltage drops and sources along the path. 4. **Voltage Sources and Polarity:** Since the 15V source is in parallel with $R_2$, the voltage across $R_2$ is fixed at 15V. The 25V source is in series with $R_1$. 5. **Calculating $V_T$:** The total voltage $V_T$ is the sum of the 25V source and the voltage across $R_2$ (which is 15V): $$V_T = 25 + 15 = 40$$ 6. **Final Answer:** The applied voltage $V_T$ is 40 volts.