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Two resistors of resistance 4 Ω and 7 Ω are connected in series - Leaving Cert Physics - Question 10 - 2022

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Two resistors of resistance 4 Ω and 7 Ω are connected in series. Calculate the combined resistance of the two resistors.

Worked Solution & Example Answer:Two resistors of resistance 4 Ω and 7 Ω are connected in series - Leaving Cert Physics - Question 10 - 2022

Step 1

Calculate the combined resistance

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Answer

When resistors are connected in series, their total or combined resistance is simply the sum of their individual resistances. Hence:

Rtotal=R1+R2R_{total} = R_1 + R_2

Substituting the given values:

Rtotal=4Ω+7Ω=11ΩR_{total} = 4 \, \Omega + 7 \, \Omega = 11 \, \Omega

Therefore, the combined resistance of the two resistors is 11 Ω.

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