Questions: Calculate the effective resistance (in ohm) of following combination: 30 Ω 12 Ω 50 Ω 49 Ω

Calculate the effective resistance (in ohm) of following combination: 30 Ω 12 Ω 50 Ω 49 Ω
Transcript text: Question 3 2 pts Calculate the effective resistance (in ohm) of following combination: $30 \Omega$ $12 \Omega$ $50 \Omega$ $49 \Omega$
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Solution

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Solution Steps

Step 1: Identify the Resistors in Series

The given resistors are \( R_1 = 10 \Omega \), \( R_2 = 12 \Omega \), \( R_3 = 5 \Omega \), and \( R_4 = 22 \Omega \). They are connected in series.

Step 2: Calculate the Total Resistance

For resistors in series, the total resistance \( R_{total} \) is the sum of the individual resistances: \[ R_{total} = R_1 + R_2 + R_3 + R_4 \]

Step 3: Sum the Resistances

Substitute the given values: \[ R_{total} = 10 \Omega + 12 \Omega + 5 \Omega + 22 \Omega \] \[ R_{total} = 49 \Omega \]

Final Answer

The effective resistance of the combination is \( 49 \Omega \).

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