GATE Electrical Engineering (EE) 2021 Solved Papers

Question : 30 of 65

Marks: +1, -0

Two single-core power cables have total conductor resistances of

0.7 Ω

and

0.5 Ω

, respectively. and their insulation resistances (between core and sheath) are

600 {M} Ω

and

900 {M} Ω

, respectively. When the two cables are joined in series, the ratio of insulation resistance to conductor resistance is _____________

× 10^{6}

Solution:

R_{C_{\;\text "Total "\;}}=R_{C_{1}}+R_{C_{2}}

(series)

0.7+0.5=1.2

R_{\;\text "ins Total "\;}=\;{600 × 900}/{1500}=360 × 10^{6}

\;{R_{\;\text "ins "\; \;\text " Total "\;}}/{R_{\;\text "C "\;_{\;\text "Total "\;}}}=\;{360 × 10^{6}}/{1.2}=300 × 10^{6}

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