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1. Find the electric potential at point A in the diagram. R. A? v, Vz V+5Vo lts Let V1 = 12 volts and V2 = 6 volts. R1 = 10 N, R2 = 20 Q and R3 = 302.

1. Find the electric potential at point A in the diagram. R. A? v, Vz V+5Vo lts Let V1 = 12 volts and V2 = 6 volts. R1 = 10 N, R2 = 20 Q and R3 = 302.

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### Problem Statement **1. Find the electric potential at point A in the diagram.** ### Circuit Diagram Explanation The diagram depicts a circuit with the following components and connections: - **Voltage Sources:** - \( V_1 = 12 \text{ volts} \) - \( V_2 = 6 \text{ volts} \) - **Resistors:** - \( R_1 = 10 \Omega \) - \( R_2 = 20 \Omega \) - \( R_3 = 30 \Omega \) Point A is the node where we need to find the electric potential, denoted as \( V_A \). The diagram consists of: 1. A series-parallel connection of resistors and voltage sources: - \( R_1 \) is in series with the parallel combination of \( R_2 \) and \( R_3 \). - \( V_1 \) is connected in parallel to the series combination of \( R_1 \) and the parallel combination of \( R_2 \) and \( R_3 \). - \( V_2 \) is connected with \( R_3 \) only. 2. The point where the electric potential \( V_A \) is to be found is labeled as “A” and is situated between \( R_1 \) and \( R_3 \). ### Given Data - \( V_1 = 12 \text{ volts} \) - \( V_2 = 6 \text{ volts} \) - \( R_1 = 10 \Omega \) - \( R_2 = 20 \Omega \) - \( R_3 = 30 \Omega \) - A known potential of \( V_y = +5 \text{ volts} \) ### Objective Determine the electric potential \( V_A \) at point A in the circuit, given the above parameters and configuration.
Transcribed Image Text:### Problem Statement **1. Find the electric potential at point A in the diagram.** ### Circuit Diagram Explanation The diagram depicts a circuit with the following components and connections: - **Voltage Sources:** - \( V_1 = 12 \text{ volts} \) - \( V_2 = 6 \text{ volts} \) - **Resistors:** - \( R_1 = 10 \Omega \) - \( R_2 = 20 \Omega \) - \( R_3 = 30 \Omega \) Point A is the node where we need to find the electric potential, denoted as \( V_A \). The diagram consists of: 1. A series-parallel connection of resistors and voltage sources: - \( R_1 \) is in series with the parallel combination of \( R_2 \) and \( R_3 \). - \( V_1 \) is connected in parallel to the series combination of \( R_1 \) and the parallel combination of \( R_2 \) and \( R_3 \). - \( V_2 \) is connected with \( R_3 \) only. 2. The point where the electric potential \( V_A \) is to be found is labeled as “A” and is situated between \( R_1 \) and \( R_3 \). ### Given Data - \( V_1 = 12 \text{ volts} \) - \( V_2 = 6 \text{ volts} \) - \( R_1 = 10 \Omega \) - \( R_2 = 20 \Omega \) - \( R_3 = 30 \Omega \) - A known potential of \( V_y = +5 \text{ volts} \) ### Objective Determine the electric potential \( V_A \) at point A in the circuit, given the above parameters and configuration.
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