JEE Mains · Physics · STD 12 -7. Alternating current
A telegraph line of length \(100 \,km\) has a capacity of \(0.01\,\mu F / km\) and it carries an alternating current at \(0.5 \,kilo \,cycle \,per \,second\). If minimum impedance is required, then the value of the inductance that needs to be introduced in series is__________ \(m H\). \(\text { (if } \pi=\sqrt{10})\)
- A \(99\)
- B \(101\)
- C \(105\)
- D \(100\)
Answer & Solution
Correct Answer
(D) \(100\)
Step-by-step Solution
Detailed explanation
For minimum impedance \(X _{ L }= X _{ C }\) \(\Rightarrow \omega L =\frac{1}{\omega C } \Rightarrow L =\frac{1}{\omega^{2} C }=10^{-1} H =100\,mH\)
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