TS EAMCET · Maths · Application of Derivatives
Electric current is measured by tangent galvonometer, the current being proportional to the tangent of the angle \(\theta\) of deflection. If the deflection is read as \(45^{\circ}\) and an error of \(1 \%\) is made in reading it, then the percentage error in the current is
- A \(\pi\)
- B \(\frac{\pi}{2}\)
- C \(\frac{\pi}{3}\)
- D \(\frac{\pi}{4}\)
Answer & Solution
Correct Answer
(B) \(\frac{\pi}{2}\)
Step-by-step Solution
Detailed explanation
According to the given informations \(I \propto \tan \theta\) So, \(\frac{\Delta I}{I} \times 100=\sec ^2 \theta \frac{\Delta \theta}{\theta} \times 100\) At…
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