Light Bulbs: Consider the three light bulbs having resistances represented by R1 = 2Ω, R2 = 4Ω, R3 = 6Ω, and R4 = 6Ω. The source has a voltage: Vs = 10V. The magnitudes of currents flowing through these light bulbs are I1, I2 and I3, respectively, as shown in Figure 2.
Figure 2
What are the values of currents I1, I2 and I3?
What is the relation between the brightness of the bulbs when the circuit is switched on? Use smaller (<), greater (>), or equal (=) signs to describe these relations. Justify your answer with calculations.
Show all calculations.
Given:
For voltage V across a resistor of resistance R and current I flowing through it, Ohm's law states: V = IR.
For resistors with resistances Ra, Rb and Rc connected in series, the equivalent resistance is: Rs = Ra + Rb + Rc.
For resistors with resistances Ra, Rb and Rc connected in parallel, the equivalent resistance is: 1/Rp = 1/Ra + 1/Rb + 1/Rc.
For a resistor of resistance R and the current I flowing through it, electric power generated in it is: P = I^2 * R.