Question

A system contains five charges +1 C, +2C, -3 C, +4 C and -5 C. The net charge on the system is
a) +10
b) -2 C
c) 2C
d) -1C​

Answer 1

Given : A system contains five charges +1 C, +2C, -3 C, +4 C and -5 C.

To Find :  The net charge on the system

a) +1 C

b) -2 C

c) 2C

d) -1C​

Solution:

system contains five charges +1 C, +2C, -3 C, +4 C and -5 C.

net charge on the system will be summation of all charges

+ 1 C + 2C - 3C + 4C  - 5C

+7C - 8C

= - 1C

The net charge on the system is - 1C

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Answer 2

Given:

A system contains five charges +1 C, +2C, -3 C, +4 C and -5 C.

To find:

Net charge on the system?

Calculation:

The net charge of the system can be calculated by algebraic addition of the individual charges.

$\rm \: q_{net} = \sum( q_{i})$

$\rm \implies \: q_{net} = + 1 + 2 - 3 + 4 - 5$

$\rm \implies \: q_{net} = 7 - 8$

$\rm \implies \: q_{net} = - 1 \: C$

So, net charge on system is -1 Coulomb.