Question

A circuit is shown in the diagram given below -
a) find the value of R.
b)find the reading of the ammeter.
c) find the potential difference across the terminals of the battery.​

Answer 1

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Question



A circuit is shown in the diagram given below:-

(a) Find the value of RR. 

(b) Find the reading of the ammeter. 

(c) Find the potential difference across the terminals of the battery.





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Solution



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In the given circuit , all the resistors are connected in the series combination. therefore, current flowing through  them is same.(Let say I) 

∙ Voltage across 6 Ω resistor is 12V

We know,

          Electric current,I=resistance(R)voltage(V)

Or, I=612=2A

∙ Voltage across unknown Resistor R resistor is 6V

The current flowing through R is also 2A.

Part(A) Finding value of R

We know, 

According to Ohm law, V=IR

Or Resistance ,R=IV=26=3Ω

here, 

Requivalent=R1+R2

Requivalent=3+6=9Ω

Hence Equivalent resistance is =9Ω

Part(B) Calculate Reading of the ammeter.

Ammeter is a device which is used to measure Electric current in the circuit,

Hence reading =2A

Part(C) In series combination, Potential of the battery is always equals to the, sum of the potential difference across all the resistors which are connected in series combination.

VBat