Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Electric Charge (): The fundamental property of matter that causes it to experience a force when placed in an electromagnetic field. It is measured in Coulombs (). The charge of a single electron is approximately .
Electric Current (): The rate of flow of electric charge. It is defined as and measured in Amperes (), where . Conventional current flows from positive to negative, whereas electrons flow from negative to positive.
Potential Difference (): The work done () per unit charge () in moving a charge between two points in a circuit. It is measured in Volts (), where .
Electromotive Force (e.m.f.): The total energy supplied by a source (like a battery) per unit charge as it moves around a complete circuit. It is also measured in Volts ().
Resistance (): The opposition to the flow of electric current. According to Ohm's Law, for an ohmic conductor at constant temperature, the current is directly proportional to the potential difference, leading to . Resistance is measured in Ohms ().
Resistivity (): An intrinsic property of a material that quantifies how strongly it opposes the flow of electric current. Resistance depends on resistivity, length (), and cross-sectional area ().
Electrical Power (): The rate at which electrical energy is converted into other forms of energy. It is measured in Watts ().
📐Formulae
💡Examples
Problem 1:
A copper wire has a length of and a cross-sectional area of . If the resistivity of copper is , calculate the resistance of the wire.
Solution:
Explanation:
To find the resistance, we use the resistivity formula. By substituting the given length (), area (), and resistivity (), we find that the total resistance is .
Problem 2:
A light bulb is connected to a power supply. If the current flowing through the bulb is , calculate the power rating of the bulb and the energy consumed in minutes.
Solution:
Power: \nEnergy:
Explanation:
First, we calculate power using . Then, to find the energy, we multiply power by time, ensuring time is converted from minutes to seconds ().
Problem 3:
A charge of flows through a resistor in minutes. Calculate the current in the circuit.
Solution:
Explanation:
Current is defined as the rate of flow of charge. By dividing the total charge () by the time in seconds (), we find the current is .