A 100 volt voltmeter whose resistance is 20 k`Omega` is connected in series to a very high resistance R. When it is joined in a line of 110 volt, it reads 5 volt. What is the magnitude of resistance R ?

Explanation

To solve the problem, we need to find the resistance \( R \) when a voltmeter is connected in series with it and reads a certain voltage. Here’s a step-by-step solution:

### Step 1: Understand the circuit
The voltmeter with a resistance of \( 20 \, k\Omega \) is connected in series with a high resistance \( R \). The total voltage supplied is \( 110 \, V \), and the voltmeter reads \( 5 \, V \).

### Step 2: Calculate the current through the circuit
Using Ohm's Law, we can express the current \( I \) flowing through the circuit. The total resistance in the circuit is the sum of the voltmeter's resistance and the resistance \( R \):
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