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CBSE Class 10 Answered

Three resistors of 10, 20 and 30 ohms are connected in parallel to a 9V battery. Calculate: ( a)Value of current through each resistor (b)Total current in the circuit (c)Total effective resistance of the circui
Asked by piyushmalik024 | 19 May, 2019, 11:31: AM
answered-by-expert Expert Answer
a) Current through each resistor:
 
For parallel combination of resistor, potential difference across each resistor is same. 
Current through 10 Ω resistor is,
 
V = IR 
V= 9V 
R =10 Ω
Thus, I1 = 9/10 = 0.9 A 
 
Current through 20 Ω resistor,
I2 = 9/20 = 0.45 A 
 
Current through 30 Ω resistor is,
I3 = 9/30 = 0.3 A
 
b) Total current in the circuit is,
 
I = I1+ I2 + I3 = 0.9 + 0.3 + 0.45 = 1.65 A
 
Thus, total current flowing through the circuit is 1.65 A.
 
c) Effective resistance:
 
The resistors are connected in parallel,
 
Thus,
 
1 over R subscript p equals 1 over 10 plus 1 over 20 plus 1 over 30
fraction numerator begin display style 1 end style over denominator begin display style R subscript p end style end fraction space equals space 11 over 60

T h u s comma
R subscript p space equals space 5.45 space capital omega
 
Thus, the effective resistance of the circuit is 5.45 Ω
Answered by Shiwani Sawant | 19 May, 2019, 03:03: PM
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