Photo AI

A resistor of resistance $R$ and three identical cells of emf $E$ and internal resistance $r$ are connected as shown - AQA - A-Level Physics - Question 28 - 2020 - Paper 1

Question icon

Question 28

A-resistor-of-resistance-$R$-and-three-identical-cells-of-emf-$E$-and-internal-resistance-$r$-are-connected-as-shown-AQA-A-Level Physics-Question 28-2020-Paper 1.png

A resistor of resistance $R$ and three identical cells of emf $E$ and internal resistance $r$ are connected as shown. What is the current in the resistor?

Worked Solution & Example Answer:A resistor of resistance $R$ and three identical cells of emf $E$ and internal resistance $r$ are connected as shown - AQA - A-Level Physics - Question 28 - 2020 - Paper 1

Step 1

Calculate the Total Voltage

96%

114 rated

Answer

Since there are three identical cells connected in series, the total voltage, VtotalV_{total}, across the circuit can be calculated as:

Vtotal=3EV_{total} = 3E

Step 2

Calculate the Total Internal Resistance

99%

104 rated

Answer

The total internal resistance, RtotalR_{total}, of the three cells in series is:

Rtotal=3rR_{total} = 3r

Step 3

Determine the Total Resistance in the Circuit

96%

101 rated

Answer

The total resistance in the circuit combines the external resistor and the total internal resistance:

Rcircuit=R+3rR_{circuit} = R + 3r

Step 4

Apply Ohm's Law to Find the Current

98%

120 rated

Answer

Using Ohm's law, the current II in the circuit can be found by:

I=VtotalRcircuit=3ER+3rI = \frac{V_{total}}{R_{circuit}} = \frac{3E}{R + 3r}

Join the A-Level students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;