Four charges 10-5 -2 × 108 ;+3 × 108 and 2 × 10-8 Coulomb are -placed at the four corners of a square,of side 1m the potential at the center of the square is

Question

Four charges 10-5 -2 × 108 ;+3 × 108 and 2 × 10-8 Coulomb are -placed at the four corners of a square,of side 1m the potential at the center of the square is (A) zero (B) 360 volt (C) 180 volt (D) 360 √2 volt

Tardigrade Admin · Accepted Answer

Potential at centre =( k (10-8)/((1)√2)2)+( k (-2 × 10-8)/((1)√2))+( k (2 × 10-8)/((1)√2))+( k (3 × 10-8)/((1)√2)) = k √2(10-8+3 × 10-8) =4 × 10-8 × 9 × 109 × √2 =360 √2 volts

Q. Four charges $1 0^{- 5} - 2 \times 1 0^{8}; + 3 \times 1 0^{8}$ and $2 \times 1 0^{- 8}$ Coulomb are -placed at the four corners of a square,of side 1m the potential at the center of the square is

zero

360 volt

180 volt

360 $2$ volt

Q. Four charges 10−5−2×108;+3×108 and 2×10−8 Coulomb are -placed at the four corners of a square,of side 1m the potential at the center of the square is

zero

360 volt

180 volt

360 2​ volt

Potential at centre =(2​1​)2k(10−8)​+(2​1​)k(−2×10−8)​+(2​1​)k(2×10−8)​+(2​1​)k(3×10−8)​ =k2​(10−8+3×10−8) =4×10−8×9×109×2​ =3602​ volts

Q. Four charges $1 0^{- 5} - 2 \times 1 0^{8}; + 3 \times 1 0^{8}$ and $2 \times 1 0^{- 8}$ Coulomb are -placed at the four corners of a square,of side 1m the potential at the center of the square is

360 $2$ volt