A point charge of magnitude + 1 μ C is fixed at (0, 0,0). An isolated uncharged spherical conductor, is fixed with its center at (4,0,0). The potential and the induced electric field at the centre of the sphere is:

Question

A point charge of magnitude + 1 μ C is fixed at (0, 0,0). An isolated uncharged spherical conductor, is fixed with its center at (4,0,0). The potential and the induced electric field at the centre of the sphere is: (A) 1.8×105 V and -5.625 × 106 V/m (B) 0 V and 0 V/m (C) 2.25×105 V and -5.625 × 106 V/m (D) 2.25×105 V and 0 V/m

Tardigrade Admin · Accepted Answer

q=1 μ C=1×10-6C r=4 cm = 4×10-2 m Potential V=(kq/r) =(9×109×10-6/4×10-2) =2.25×105V. Induced electric field E=-(kq/r2) =(9×109×1×10-6/16×10-4)=-5.625×106 V/m

Q. A point charge of magnitude $+ 1 μ C$ is fixed at $(0, 0, 0)$ . An isolated uncharged spherical conductor, is fixed with its center at $(4, 0, 0)$ . The potential and the induced electric field at the centre of the sphere is:

$1.8 \times 1 0^{5} V$ and $- 5.625 \times 1 0^{6} V / m$

$0 V$ and $0 V / m$

$2.25 \times 1 0^{5} V$ and $- 5.625 \times 1 0^{6} V / m$

$2.25 \times 1 0^{5} V$ and $0 V / m$

Q. A point charge of magnitude +1μC is fixed at (0,0,0). An isolated uncharged spherical conductor, is fixed with its center at (4,0,0). The potential and the induced electric field at the centre of the sphere is:

1.8×105V and −5.625×106V/m

0V and 0V/m

2.25×105V and −5.625×106V/m

2.25×105V and 0V/m

q=1μC=1×10−6C r=4cm=4×10−2m Potential V=rkq​ =4×10−29×109×10−6​ =2.25×105V. Induced electric field E=−r2kq​ =16×10−49×109×1×10−6​=−5.625×106V/m

Q. A point charge of magnitude $+ 1 μ C$ is fixed at $(0, 0, 0)$ . An isolated uncharged spherical conductor, is fixed with its center at $(4, 0, 0)$ . The potential and the induced electric field at the centre of the sphere is:

$1.8 \times 1 0^{5} V$ and $- 5.625 \times 1 0^{6} V / m$

$0 V$ and $0 V / m$

$2.25 \times 1 0^{5} V$ and $- 5.625 \times 1 0^{6} V / m$

$2.25 \times 1 0^{5} V$ and $0 V / m$