When the current I is positive, does the capacitor charge …

Physics Questions

1. When the current I is positive, the capacitor charge Q isdecreasing. 2. When the current I is positive, the measured VOLTAGE IN 2 willbe negative. 3. When the capacitor charge Q is positive, the measured VOLTAGE IN1 is positive. 4. The capacitor charge Q exponentially decays to zero when the RELAY is thrown to position N.O. 5. The transient currents that flow in this experiment decay exponentially to zero

Short Answer

The answer explains how capacitors store energy through the relationship between charge, current, and voltage. It highlights the implications of voltage measurements on charge and current behavior, as well as the impact of relay positions on current flow and charge decay in capacitors.

Step-by-Step Solution

Step 1: Understanding Capacitor Operation

Capacitors are electric devices that store energy when a voltage is applied. The relationship between the capacitor’s charge Q, current I, and voltage can be described using key formulas. When a positive I is applied, both Q and voltage increase, meaning energy is stored in the capacitor. This dynamic helps clarify why statements regarding charge decrease and current positivity are often false.

Step 2: Analyzing Voltage and Current Relationships

The relation between measured voltage in the capacitor and current is crucial for understanding its behavior. When voltage is measured from VOLTAGE IN 1 and is positive, it signifies that charge Q is also positive. Conversely, if VOLTAGE IN 2 is negative while I is positive, it contradicts standard behavior. We conclude that this means such assertions reflecting these conditions are typically false.

Step 3: Examining Relay Positions and Current Flow

The position of a relay, especially when in the “N.O.” (normally open) position, affects current flow significantly. In this state, no current can flow, leading to a rapid decay of charge in the capacitor. Additionally, the transient current flow is characterized by an exponential decrease to zero in the given formula. Hence, relating these dynamics to the statements provided can reveal discrepancies in their truthfulness.

Related Concepts

Capacitor

An electric device that stores energy in an electric field when a voltage is applied, characterized by its charge (q), current (i), and voltage relationship.

Voltage

The electric potential difference between two points, which, when measured in a capacitor, indicates the state of charge and energy storage within the device.

Relays

Electromechanical switches that control current flow in a circuit, which can change states (like from normally open to closed) affecting the current that can pass through, particularly in relation to capacitors.

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