A voltmeter of resistance 1000 .0 .5 ~V / div is to be converted into a voltmeter to make it to read =1 ~V / div . The value of high resistance to be connected in series with it is

Step-by-step solution

The sensitivity of the voltmeter is given as S₁ = 0.5 V/div . The resistance of the voltmeter is R_V = 1000 . The full scale deflection current I_g is given by I_g = V_ div R_V = 0.5 1000 = 5 10⁻⁴ A . The new sensitivity required is S₂ = 1 V/div . Let the new total resistance be R_ total = R_V + R_s , where R_s is the series resistance to be added. For the new sensitivity, I_g = S₂ R_V + R_s . Substituting the values: 5 10⁻⁴ = 1 1000 + R_s . 1000 + R_s = 1 5 10⁻⁴ = 10000 5 = 2000 . R_s = 2000 - 1000 = 1000 . Answer