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Chapter 24: Q12P (page 710)

As a space shuttle moves through the dilute ionized gas of Earth’s ionosphere, the shuttle’s potential is typically changed by -1.0 Vduring one revolution. Assuming the shuttle is a sphere of radius 10 m, estimate the amount of charge it collects.

Short Answer

Expert verified

q=-1.1×10-9C

Step by step solution

01

Given

  • The potential of the shuttle is -1.0 V.
  • Radius of a shuttle is 10 m (Assuming shuttle is a sphere).
02

Understanding the concept

The electric potential V at the surface of a drop of charge q and radius R is given by V=q4πε0Rwe find the amount of charge collected by shuttle.

03

Calculate the amount of charge collected

The charge is,

q=4πε0RV=10m-1.0V8.99×109N·m2/C2=-1.1×10-9C

Hence,the amount of charge it collects isq=-1.1×10-9C

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Most popular questions from this chapter

A Gaussian sphere of radius 4.00cm is centered on a ball that has a radius ofrole="math" localid="1662731665361" 1.00cm and a uniform charge distribution. The total (net) electric flux through the surface of the Gaussian sphere is+5.6×104N⋅m2/C . What is the electric potential 12.0cmfrom the center of the ball?

In Fig. 24-70, point P is at the center of the rectangle. With V=0at infinity, q1=5.00fC , q2=2.00fC , q3=3.00fC, andd=2.54cm, what is the net electric potential at P due to the six charged particles?

In Fig. 24-66, point P is at distanced1=4.00m from particle 1(q1−2e) and distanced2=2.00m from particle 2 (q2+2e), with both particles fixedin place.

(a) With V=0at infinity, what is V at P? If we bring a particle ofchargeq3+2e from infinity to P,

(b) how much work do we do and

(c) what is the potential energy of the three-particle system?

Consider a particle with charge q = 1.0 mC, point Aat distance d1 = 2.0 mfrom q, and point Bat distance d2 = 1.0 m. (a) If Aand B are diametrically opposite each other, as in Fig. 24-36a, what is the electric potential difference VA - VB? (b) What is that electric potential difference if Aand Bare located as in Fig. 24-36b?

The electric potential Vin the space between two flat parallel plates 1 and 2 is given (in volts) by V = 1500x2, where x(in meters) is the perpendicular distance from plate 1. At x = 1.3cm, (a) what is the magnitude of the electric field and (b) is the field directed toward or away from plate 1?
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