Electricity Class 10 Numericals
Manocha Academy・2 minutes read
The video covers various electrical problems, from current calculations to power consumption, emphasizing practical applications and problem-solving techniques. Detailed explanations are provided for using formulas like Ohm's law and Joule's law, with an example of calculating the total energy consumption in an office to determine the monthly electricity bill.
Insights
- Ohm's law is essential for determining current passing through resistors in circuits, while understanding resistance and resistivity changes in wires when stretched is crucial for calculating electrical properties accurately.
- Calculating power consumption and monthly electricity bills involves utilizing specific formulas like P = V^2 / R and converting energy consumption to kilowatt-hours, emphasizing the importance of precise calculations for accurate billing and efficiency monitoring.
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Recent questions
How can I calculate current passing through a resistor?
To calculate the current passing through a resistor, you can apply Ohm's law, which states that current (I) is equal to voltage (V) divided by resistance (R). For example, if you have a 3-ohm resistor and a voltage of 12 volts applied across it, the current passing through the resistor would be 4 amperes (I = V / R = 12V / 3Ω = 4A).
What is the formula for finding total equivalent resistance in a series circuit?
In a series circuit, the total equivalent resistance (R_total) is calculated by adding the individual resistances of each component. For instance, if you have resistors of 2 ohms, 3 ohms, and 4 ohms connected in series, the total equivalent resistance would be 9 ohms (R_total = 2Ω + 3Ω + 4Ω = 9Ω).
How do I determine the change in resistance when a wire is stretched?
When a wire is stretched, its resistance changes due to the alteration in its dimensions. However, the resistivity of the material remains constant. To calculate the change in resistance, you can use the formula for resistance, which is R = ρ * (L / A), where ρ is the resistivity, L is the length of the wire, and A is the cross-sectional area.
How can I calculate the heat produced in a coil when a current is passed through it?
To determine the heat produced in a coil when a current flows through it, you can utilize Joule's law of heating, which states that heat produced (H) is equal to the product of current (I), resistance (R), and time (t). For example, if a coil has a resistance of 5 ohms and a current of 2 amperes passes through it for 10 seconds, the heat produced would be 100 joules (H = I^2 * R * t = 2A^2 * 5Ω * 10s = 100J).
How do I calculate the power consumed by a bulb with a lower voltage?
When calculating the power consumed by a bulb connected to a lower voltage, you can use the formula P = V^2 / R, where P represents power, V is the voltage across the bulb, and R is the resistance of the bulb. For instance, if a bulb with a resistance of 10 ohms is connected to a voltage of 5 volts, the power consumed by the bulb would be 2.5 watts (P = 5V^2 / 10Ω = 2.5W).
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Summary
00:00
"Electricity Problem-Solving Tips and Techniques"
- Video focuses on important questions on electricity, offering tips and techniques for solving numerical problems.
- Encourages viewers to like, share, and visit the website Manojacademy.com for more quizzes.
- Introduces a question about finding the current passing through an ammeter in a circuit.
- Explains the application of Ohm's law to determine the current passing through a 3-ohm resistor.
- Demonstrates the calculation of equivalent resistance for parallel resistors in a circuit.
- Shows how to find the total equivalent resistance in a series circuit.
- Illustrates the calculation of current passing through an ammeter using the voltage across a specific resistor.
- Presents a question about the change in resistance and resistivity when a wire is stretched.
- Utilizes the formula for resistance to determine the change in resistance when a wire is stretched.
- Explains that resistivity remains constant when a wire is stretched, while resistance changes.
- Introduces a question about calculating the heat produced in a coil when a current is passed through it for a specific time.
- Applies Joule's law of heating to find the amount of heat produced in a coil.
- Provides a question about determining the power consumed by a bulb connected to a lower voltage.
- Emphasizes the importance of using the formula P = V^2 / R to calculate power when voltage changes.
- Presents a detailed question involving the monthly expenditure on electricity in an office.
- Breaks down the process of finding the total energy consumed by bulbs and fans in a day and converting it to kilowatt-hours for the month.
20:00
Calculating Monthly Electricity Bill for Fans and Bulbs
- The total energy consumed by fans and bulbs in a month is calculated by multiplying 3.5 kilowatt hours by 30 days, resulting in 105 kilowatt hours. This translates to 105 units of electricity, which, when multiplied by the rate of five rupees per unit, gives a total monthly bill of 525 rupees.
