a)In the series circuits, what do you notice about the voltage across each resistor compared with the voltage of the battery? (There could be more than one answer)
1.The resistor voltages multiplied together give the battery's voltage
2.The resistor voltages subtract to get the battery's voltage
3.The resistor voltages add to get the battery's voltage
4.The resistor voltages are the same as the battery's voltage
5.The resistor voltages are smaller than the battery's
6.There does not appear to be a pattern relating the voltages of the resistors and the battery
7.The resistor voltages are larger than the battery's
Why do you think this is so?(Select all that apply)
1.Each resistor only uses up part of the energy, but together they use all of it.
2.Each resistor only uses up part of the current, but together they use all of it.
3.Each resistor uses up the same current.
4.Each resistor uses up all the energy supplied by the battery.
5.Each charge goes through all the resistors.
6.Each charge only goes through one resistor.
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In series circuits, the voltage across each resistor can be determined by the following steps:
1. Calculate the total resistance (R_total) of the circuit by adding up the individual resistances (R1, R2, R3, etc.) connected in series.
2. Apply Ohm's Law: V = I * R, where V is the voltage, I is the current, and R is the resistance.
3. Since the resistors are connected in series, the current passing through each resistor is the same. Therefore, the voltage drop across each resistor can be calculated as V_resistor = I * R_resistor.
Now, let's go through the given options:
1. The resistor voltages multiplied together give the battery's voltage – This is incorrect. In a series circuit, the voltage drop across each resistor does not multiply together to give the battery's voltage.
2. The resistor voltages subtract to get the battery's voltage – This is also incorrect. Subtracting the voltage drops across each resistor will not give the battery's voltage.
3. The resistor voltages add to get the battery's voltage – This is the correct answer. In a series circuit, the voltage drops across each resistor add up to equal the voltage provided by the battery. Mathematically, it can be expressed as V_battery = V_resistor1 + V_resistor2 + V_resistor3 + ...
4. The resistor voltages are the same as the battery's voltage – This is incorrect. The battery's voltage is divided among the resistors in a series circuit, resulting in different voltage drops across each resistor.
5. The resistor voltages are smaller than the battery's – This is incorrect. The sum of the voltage drops across the resistors in a series circuit is equal to the battery's voltage.
6. There does not appear to be a pattern relating the voltages of the resistors and the battery – This is incorrect. There is a clear pattern in a series circuit where the voltage drops across the resistors add up to the battery's voltage.
7. The resistor voltages are larger than the battery's – This is incorrect. The sum of the voltage drops across the resistors in a series circuit is equal to the battery's voltage.
So, the correct answer is 3. The resistor voltages add to get the battery's voltage.