In FIGURE EX28.30, what is the value of the potential at points 1 and 2?

검증된 단계별 안내

Step 1: Analyze the circuit diagram. The circuit consists of two batteries (15 V and 5 V), two resistors (4 Ω and 1 Ω), and two points (1 and 2) where the potential needs to be calculated. The circuit is a closed loop, and Kirchhoff's Voltage Law (KVL) will be applied.

Step 2: Apply Kirchhoff's Voltage Law (KVL) to the loop. KVL states that the sum of the potential differences (voltage drops and rises) around any closed loop is zero. Write the equation for the loop considering the direction of current flow and the polarity of the batteries.

Step 3: Calculate the current in the circuit. Use Ohm's Law, \( V = IR \), to find the current. The total resistance in the circuit is the sum of the resistances (4 Ω + 1 Ω = 5 Ω). The net voltage driving the current is the difference between the two batteries (15 V - 5 V = 10 V). Solve for current using \( I = \frac{V}{R} \).

Step 4: Determine the potential at point 1. Start from the 15 V battery and move through the circuit to point 1. Account for the voltage drop across the 4 Ω resistor using \( V_{drop} = IR \). Subtract this drop from the battery voltage to find the potential at point 1.

Step 5: Determine the potential at point 2. Start from the 15 V battery and move through the circuit to point 2. Account for the voltage drop across both resistors (4 Ω and 1 Ω) using \( V_{drop} = IR \). Subtract these drops from the battery voltage to find the potential at point 2.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

도움이 되었나요?

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Electric Potential

Electric potential, often referred to as voltage, is the amount of electric potential energy per unit charge at a specific point in an electric field. It is measured in volts (V) and indicates the work done to move a charge from a reference point to the point in question. Understanding how potential varies in a circuit is crucial for analyzing the behavior of electrical components.

Ohm's Law

Ohm's Law states that the current (I) flowing through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) of the conductor. This relationship is expressed as V = IR. It is fundamental for calculating current, voltage, and resistance in electrical circuits, which is essential for determining potential at different points.

Series and Parallel Circuits

In electrical circuits, components can be arranged in series or parallel configurations. In a series circuit, the same current flows through all components, while in a parallel circuit, the voltage across each component is the same. Understanding these configurations is vital for analyzing how voltage is distributed across components, which directly affects the potential at various points in the circuit.