1. The ammeter in the figure reads 3.0 A.
a) Find I2. Express your answer using two significant figures, in Amps.
b) Find ε. Express your answer using two significant figures, in Volts.
The concept used here is Kirchhoff’s current law and Kirchhoff’s voltage law.
Firstly, apply Kirchhoff’s current law to the left loop and Kirchhoff’s voltage law to the right loop and use the equation obtained from the loop to calculate the current .
In the second part, calculate the value of by using the value of current calculated in the previous part.
Kirchhoff’s current law:
At any junction in circuit, the algebraic sum of currents will be zero.
Kirchhoff’s voltage law:
In any closed loop of circuit, the algebraic sum of voltages will be zero.
The following figure shows the given circuit diagram.
(a)
The Kirchhoff’s current law is used at junction A, it is written as,
…… (1)
The current between A and B, it means the current will be equal to the reading of attached ammeter, which is . Therefore, it is written as,
The voltage difference between A and B is written as,
Substitute for and for in above expression.
Apply the Kirchhoff’s voltage law in loop 1, it is written as,
Substitute the value for in above expression.
Substitute the value for and for in expression (1).
(b)
Apply the Kirchhoff’s voltage law in loop 2, it is written as,
Substitute the value for and for in above expression.
Ans: Part a
The value of is .
Part bThe value of is .
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