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Chapter 16: Q11Q (page 662)

Figure 16.60 shows a portion of a long, negatively charged rod. You need to calculate the potential differenceVA-VB.

(a) What is the direction of the path (+y or 鈭抷)? (b) What is the sign of VA-VB?

Short Answer

Expert verified

a) The direction of path is negative y-direction.

b) The sign of the potential difference is negative.

Step by step solution

01

Identification of given data

The given data can be listed below,

  • The charge on the rod is, -q
  • The potential difference is,VA-VB
02

Concept/Significance of the electric potential.

The effort done by the field in moving unit positive charge from the reference point to the place where potential is to be found determines electric potential at any point in the field.

03

(a) Determination of the direction of the path +y or -y

The potential difference can be determined by going from point B to A which is from positive y-direction towards the negative y-direction.

Thus, the direction of path is negative y-direction.

04

(b) Determination of the sign of VA-VB.

The positive side point B has higher potential energy than the negative side point A. So, the potential difference鈭�V=VA-VB is negative.

Thus, the sign of the potential difference is negative.

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Most popular questions from this chapter

A capacitor consists of two charged disks of radiusR separated by a distances, whereR>>s. The magnitude of the charge on each disk is Q. Consider points A, B, C, and D inside the capacitor, as shown in Figure 16.88. (a) Show that螖V=VC鈭�VAis the same for these paths by evaluating 鈭哣 along each path: (1) Path 1:A = B = C, (2) Path 2:A=C, (3) Path 3:A=D=B=C. (b) If,Q=43鈥坝糃,R=4鈥尘,s1=1.5鈥尘m ands2=0.7鈥尘m, what is the value of螖V=VC鈭�VA? (c) Choose two different paths from point A back to point A again, and show that鈭�V=0for a round trip along both of these paths.

For each of the following statements, say whether it is true or false and explain why it is true or false. Be complete in your explanation, but be brief. Pay particular attention to the distinction between potential V and potential difference 鈭哣. (a) The electric potential inside a metal in equilibrium is always zero. (b) If there is a constant large positive potential throughout a region, the electric field in that region is large. (c) If you get close enough to a negative point charge, the potential is negative, no matter what other charges are around. (d) Near a point charge, the potential difference between two points a distance L apart is 鈭扙尝. (e) In a region where the electric field is varying, the potential difference between two points a distance L apart is -(Ef-Ei)L.

In a circuit there is a copper wire 40 cm long with a potential difference from one end to the other end of 0.01V. What is the magnitude of electric field inside the wire?

Locations A and B are in a region of uniform electric field, as shown in Figure 16.67. Along a path from B to A, the change in potential is-2200V. The distance from A to B is 0.28m. What is the magnitude of the electric field in this region?

What is the potential at the centre of a spherical shell ofradius Rthat has a charge Quniformly distributed over its surface? Don鈥檛 do an integral of the electric field; just add up the contributions to the potential by the charges.
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