Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Electric Current (): The rate of flow of electric charge () through a conductor. It is measured in Amperes () using an ammeter connected in series.
Potential Difference or Voltage (): The amount of energy or work done () per unit charge to move it between two points in a circuit. It is measured in Volts () using a voltmeter connected in parallel.
Resistance (): The opposition offered by a substance to the flow of electric current. It is measured in Ohms (). Factors affecting resistance include length, cross-sectional area, material, and temperature.
Ohm's Law: At a constant temperature, the current () flowing through a conductor is directly proportional to the potential difference () across its ends, expressed as .
Series Circuit: Components are connected end-to-end. The current remains the same through all components (), but the total voltage is shared ().
Parallel Circuit: Components are connected across the same two points. The voltage remains the same across all branches (), but the total current is the sum of currents in each branch ().
📐Formulae
💡Examples
Problem 1:
A charge of passes through a light bulb in seconds. Calculate the current flowing through the bulb.
Solution:
Given: , . Using the formula , we get .
Explanation:
Current is defined as the rate of flow of charge. Dividing the total charge by the time taken gives the current in Amperes.
Problem 2:
A resistor is connected to a battery, and a current of flows through it. What is the resistance of the resistor?
Solution:
Given: , . According to Ohm's Law, . Substituting the values: .
Explanation:
Resistance is the ratio of potential difference to current. Using Ohm's Law, we rearrange the formula to solve for .
Problem 3:
Calculate the total resistance of two resistors, and , when they are connected in series.
Solution:
For a series circuit, . Substituting the values: So, .
Explanation:
In a series connection, the total resistance is simply the sum of the individual resistances because the current has only one path to flow through.