Q.

Electric current has both magnitude and direction. But it is a scalar. If it is assumed as vector quantity, then :

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a

Charge conservation principle fails

b

This does not fail

c

Coulomb’s law fails

d

None of the above

answer is A.

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Detailed Solution

current doesnot obey laws of vector addition. As current is a scalar quantity the law of conservation of charge holds goodAccording to vector addition, if current is a vector i=i21+i21+2i1i2cosθAs cosθ lies between -1 and +1i1-i2≤i≤i1+i2Q1-Q2≤Q≤Q1+Q2from above equation charge is not conserved as current entering junction is not equal to current leaving the junction
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