Question

The equivalent GMR of the given arrangement in figure below will be_______cm. (Take radius of each conductor as 4 cm).

• A. 6.81

Answer 1

The correct option is A 6.81
$GM{R}_a=\sqrt[3]{30.788\times r\times 2r\times 4r}=1.84rcm$

$GM{R}_b=\sqrt[3]{30.788\times 2r\times 2r}=1.46rcm$

$GM{R}_c=\sqrt[3]{30.788\times 2r\times 4r}=1.84rcm$

GMR equivalent $=\sqrt[3]{3GM{R}_a.GM{R}_b.GM{R}_c}$

$=\sqrt[3]{31.84r\times 1.46r\times 1.84r}$

$GM{R}_{equivalent}=1.7036r$

$GM{R}_{equivalent}=1.7036\times 4=6.81cm$