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Find out the following in the electric circuit given in figure.
 
(a) Effective resistance of two 8\ Ω resistors in the combination
(b) Current flowing through 4\ Ω resistor
(c) Potential difference across 4\ Ω resistance
(d) Power dissipated in 4\ Ω resistor
(e) Difference in ammeter readings, if any.
 
12.9 (1).png
Circuit diagram
 
(a) Total resistance is given by
 
1RP=iiR=iΩ
 
(b) The total resistance is given by R\ =  Ω.
 
From Ohm's law, i=ii the current flowing through the resistor is
 
 
i=ii=iA
 
(c) The potential difference across 4\ Ω resistance is found by the formula . On substituting the known values, we get .
 
(d) The formula for power dissipation in the circuit is
 
P=iii=iW
 
(e) Since it is a series circuit, the current flowing through the circuit is the . Hence, there is in the ammeter readings.