A ) Is it possible for the child to becomeelectrically charged based on the baby
ID: 1745822 • Letter: A
Question
A) Is it possible for the child to becomeelectrically charged based on the babysitter's statement? Explainusing physics principles.
B) Draw the child's fingertip and the region ofthe toy truck just before the spark appeared. Show the approximatecharge distribution on both (Assume that the truck isneutral.)
C) Would the electric interaction described bythe babysitter be harmful to the child? (Give a detailedquantitative explanation.)
D) Estimate the resistance of the dry airbetween the toy truck and the child's fingertip. Is your estimateconsistent with what you would have expected before making any ofthe previous calculations?
E) Is there reason for the investigator tosuspect foul play when she compares the babysitter's version of theincident and the conclusions she reaches after having appliedphysics principles to the problem? Explain.
Explanation / Answer
A) Yes there is a posibility that the child to becomeelectrically charged as the child is crawling. C) Let us find the current flown through the finger of thechild. It is given by I = q/t As the area of the child finger tip is very small, we cantreat this part as a point charge. Then the electric field produced will be E = kq/r2 For the air to be a conductor, E = 3*106N/C Then q =(3*106N/C)(2*10-3m)2/(9*109Nm2/C2)(since the distance between the finger and the toy truck is2mm) = 1.33*10-9C Then the current flown through the finger of the child is I =(1.33*10-9C)/(5*10-3s) = 0.266*10-6A As this current is much smaller tahn 0.01A so electricinteraction described by the babysitter is not harmful tothe child D) Resistance R = V/I But V = Ed =(3*106N/C)(2*10-3m) =6*103V Then the resistance of air will be R =(6*103V)/(0.266*10-6A) = 22.56*109 E) As the current flown throuh the baby and the resistance foair is very less, therefore there is no reason for the investigatorto suspect foul play when she compares the babysitter's version ofthe incident and the conclusions she reaches after having appliedphysics principles to the problem. For the air to be a conductor, E = 3*106N/C Then q =(3*106N/C)(2*10-3m)2/(9*109Nm2/C2)(since the distance between the finger and the toy truck is2mm) = 1.33*10-9C Then the current flown through the finger of the child is I =(1.33*10-9C)/(5*10-3s) = 0.266*10-6A As this current is much smaller tahn 0.01A so electricinteraction described by the babysitter is not harmful tothe child D) Resistance R = V/I But V = Ed =(3*106N/C)(2*10-3m) =6*103V Then the resistance of air will be R =(6*103V)/(0.266*10-6A) = 22.56*109 E) As the current flown throuh the baby and the resistance foair is very less, therefore there is no reason for the investigatorto suspect foul play when she compares the babysitter's version ofthe incident and the conclusions she reaches after having appliedphysics principles to the problem.Related Questions
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