Draw a schematic diagram of an electric circuit consisting of a battery of five 2v cells, a 20 ohm resistor, a 30ohm resistor, a plug key, all.connected on series. Calculate the value of current flowing through the 20 ohm resistor and the potential difference across the 30 ohm resistor.
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★ current = 0.5 A
★ potential difference= 15 V
★ refer to attachment
★ potential difference= 15 V
★ refer to attachment
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Concept:
- Ohm's law
- Resistances
- Potential difference
- V = IR
- Series combination of cells
- Series combination of resistors
Given:
- 5 2V cells are connected, net voltage = 5*2 = 10 V
- First resistance, R1 = 20 ohm
- Second resistance R2 = 30 ohm
Find:
- the value of the current flowing through the 20 ohm resistor
- The potential difference across the 30-ohm resistor.
Solution:
The resistors are connected in series, so the net resistance is the sum of the individual resistances.
Rnet = R1 +R2 = 20 + 30 = 50 ohm
The net potential difference provided by the cells = 10 V
The current I = V/R
I = 10/50 = 0.2 A
The potential difference across the 30 ohm resistor
V = IR2
V = 0.2 * 30
V = 6V
The current is 0.2 A and the potential difference across the 30 ohm resistor is 6 V.
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