An ammetre of resistance 100 ohm can measure a maximum current of 5 mA what will do to measure the maximum current of 5 A with it ?
Answers
Answer:
Given: a galvanometer of resistance 100Ω which can measure a maximum current of 1mA is converted into an ohmmeter by connecting a battery of emf 1V and a fixed resistance of 900Ω in series. When an external resistance is measured the current reading is 0.1mA.
To find the value of resistance
Solution:
According to the given criteria,
I
g
=1mA,V=1V,G=100Ω,R=900Ω,G+R=1000Ω
Hence,
I=
R
ex
V
=
1000
1
=10
−3
A
And, I
′
=
R
ex
V
⟹R
ex
=
I
′
V
⟹
10
−4
1
⟹R
ex
=10
4
Ω
Therefore, G+R+R
′
=10,000Ω
Therefore, R
′
=10000−1000=9000Ω
is the required value of the resistance.
Answer:
resistance to drop 10 volts at 5 ma.
R=E/I, R=10/.005=2000 ohms,
then subtract the meters internal resistance,
2000–100=1900.
So 1900 ohms is the required resistance in series with the meter. This may require two or more resistors.