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A perspex ruler is rubbed with a silk cloth, what charge will the ruler obtain? Resistors in series are __ dividers. An object that opposes the flow of current is a . Voltmeter measures the amount of
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6 partsStep-by-step solution
13 stepsPart 2
- A perspex ruler is rubbed with a silk cloth, what charge will the ruler obtain?
- Negative
- Resistors in series are voltage dividers.
- An object that opposes the flow of current resistor.
- Voltmeter measures the amount of potential difference per charge.
Define the following terms:
- Resistance: Resistance is the opposition to the flow of electric current in a circuit.
- Series circuit: A series circuit is a circuit where components are connected end-to-end, forming a single path for the current to flow.
Part 3
Given:
Three cells in series, so total voltage .
A resistor (under ) is in parallel with an unknown resistor.
The combined parallel resistance is .
The reading on is .
The resistance under is .
Part i
What is the reading on ?
Identify .
measures the total voltage across the battery pack.
Calculate the total voltage.
There are three cells connected in series.
The reading on is .
Part ii
What is the reading on ?
Understand the circuit.
The resistor and the unknown resistor are in parallel. This parallel combination is in series with the resistor (under ). The ammeter A is in the main circuit. measures the voltage across the resistor.
Calculate the current through the resistor.
The reading on is and the resistance under is .
Using Ohm's Law :This is the total current flowing through the series part of the circuit.
Calculate the voltage across the parallel combination.
The total voltage supplied by the cells is .
The voltage drop across the resistor is .
The voltage across the parallel combination ( and ) is the total voltage minus the voltage drop across .Since measures the voltage across the resistor, which is part of the parallel combination, and voltage across parallel components is the same:
The reading on is .
Part iii
Calculate the reading on A?
Identify ammeter A.
Ammeter A is in the main circuit, measuring the total current.
Use the current calculated in part (ii).
The current flowing through the resistor (under ) is the total current in the circuit because it is in series with the parallel combination.
The reading on A is .
Part iv
Calculate the resistance of the unknown resistor?
Use the given combined parallel resistance.
The combined parallel resistance is . Let the unknown resistor be .
The resistor is in parallel with .
The formula for two parallel resistors is:Substitute known values and solve for .
The resistance of the unknown resistor is .
Part v
Calculate the amount of charge that flows through the ammeter in 2 seconds.
Recall the relationship between current, charge, and time.
Current is the rate of flow of charge over time :
Use the total current from part (iii) and the given time.
The current through the ammeter is .
The time is .The amount of charge that flows through the ammeter in 2 seconds is .
Part vi
The resistor under becomes hot. This is due to energy transferred in the resistor. Calculate the amount of energy transferred in the resistor?
Identify the resistor and relevant values.
The resistor under has a resistance .
The voltage across it is .
The current through it is (from part ii).
The time is not specified for this part, but typically for energy transfer questions related to heating, a time duration is needed. Assuming the question refers to the same time duration as part (v), which is .Calculate the energy transferred.
The energy transferred (heat) can be calculated using the formula:
or
or
Using , , and :
The amount of energy transferred in the resistor is .
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