b. An electrical circuit is connected as shown in the figure on the right. It co
ID: 1398678 • Letter: B
Question
b. An electrical circuit is connected as shown in the figure on the right. It contains two identical batteries. The battery labeled #1is rated at 6 Volts and the one labeled #2 is rated at 3 Volts. The 3 bulbs (labeled A, B, and C) are identical and, at the currents in the circuit, each bulb can be taken to have almost a constant resistance of 3 Ohms. Use Kirchoff's laws to find:
the current through each of the bulbs and
the current through each of the batteries.
In explaining your argument, explain which of the Kirchoff principles you are using and how. If you have not used all of them, discuss whether you are using the missing ones implicitly or whether they are not relevant here.
b. An electrical circuit is connected as shown in the figure on the right. It contains two identical batteries. The battery labeled #1is rated at 6 Volts and the one labeled #2 is rated at 3 Volts. The 3 bulbs (labeled A, B, and C) are identical and, at the currents in the circuit, each bulb can be taken to have almost a constant resistance of 3 Ohms. Use Kirchoff's laws to find:
the current through each of the bulbs and
the current through each of the batteries.
In explaining your argument, explain which of the Kirchoff principles you are using and how. If you have not used all of them, discuss whether you are using the missing ones implicitly or whether they are not relevant here.
Explanation / Answer
here,
current in bulb A be Ia
current in bulb B be Ib
current in bulb C be Ic
V1 = 6 V
V2 = 3 V
let the resistance of bulb A ,B and C be Ra , Rb and Rc
Ra = Rb = Rc = 3 ohm
Using KVL in letf loop ,
6 - 3 * Ia - 3 * Ib = 0
Ia + Ib = 2 ----(1)
using KVL in the right loop ,
3 - 3 *Ic - 3 *Ib = 0
Ic + Ib = 1 ----(2)
using KCL at the upper node
Ia - Ib + Ic = 0 ----(3)
solving 1 , 2 ,3
Ia = 1 A , Ib = 1 A , Ic = 0 A
the current in the bulbs A is 1 A , current in bulb B is 1 A , current in bulb C is 0 A
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