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Chapter 23: Q. 17 (page 654)

The electric field strength2.0cmfrom the surface of a10cmdiameter metal ball is50,000N/C. What is the charge (innC)on the ball?

Short Answer

Expert verified

Charge on the ball is27.2nC.

Step by step solution

01

Formula for finding charge

Metal sphere has radius of5cm.

Electric field at from surface is 50,000N/C.

Electric field due to sphere of radiusRand chargeQat distance isr鈮�R

E=Q4蟺系oR2......(1)

02

Calculation for charge

Using equation(1),

Calculate chargeQat metal sphere.

Q=E4蟺系oR2

=(50,000N/C)9脳109-1(0.02m+0.05m)2

localid="1648628325367" =(50,000N/C)9脳109-1(0.07)2

=(50,000N/C)9脳109-1(0.0049)

Q=27.2nC

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Most popular questions from this chapter

An electron is launched at a 45鈭�angle and a speed of 5.0脳106m/sfrom the positive plate of the parallel-plate capacitor shown in FIGURE P23.52. The electron lands 4.0cmaway.

a. What is the electric field strength inside the capacitor?

b. What is the smallest possible spacing between the plates?

FIGURE Q23.6shows a hollow soda straw that has been uniformly charged with a positive charge. What is the electric field at the center (inside) of the straw? Explain.

A10-cmlong thin glass rod uniformly charged to+10nCand a 10-cm-long thin plastic rod uniformly charged to-10nCare placed side by side, 4.0cmapart. What are the electric field strengthsE1toE3at distances1.0cm,2.0cm, and from the glass rod a3.0cmlong the line connecting the midpoints of the two rods?

Two 10 -cm-long thin glass rods uniformly charged to+10nCare placed side by side, 4.0cmapart. What are the electric field strengths E1to E3at distances 1.0cm,2.0cm, and 3.0cmto the right of the rod on the left along the line connecting the midpoints of the two rods??

What are the strength and direction of the electric field at the position indicated by the dot in FIGURE P23.35? Give your answer (a) in component form and (b) as a magnitude and angle measured cw or ccw (specify which) from the positive x-axis.
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