Question

A resistor of $6 \, k \Omega$ with tolerance $10\%$ and another resistance of $4\, k \Omega$ with tolerance $10\%$ are connected in series. The tolerance of the combination is about

• A. 5%
• B. 10%
• C. 12%
• D. 15%

Answer 1

The Correct Option is B

In series combination equivalent resistance, $R = R_1 + R_2 $ $ = 6 + 4 = 10 \, k \, \Omega$ Error in combination, $\Delta R = \Delta R_1 + \Delta R_2$ $ = \frac{10}{100 } \times 6 + \frac{10}{100} \times 4 $ $= 0.6 + 0.4=1 $ $ \frac{\Delta R}{R} = \frac{1}{10}$ $= 10\%$