Answer to Question #124910 in Classical Mechanics for Stefanie Hernandez-Mendez

Question #124910
Consider three electric bulbs. Voltage drop across bulb #1 is V and current passing through it is I. Voltage drop across bulb #2 is 2V with current passing through it I/4. Voltage drop across bulb #3 is V/8 and current passing through it is 4I.

Which bulb produces the greatest illumination?

It is impossible to answer without resistances of bulbs given. or
Bulb #3 because it has greatest current. or
Bulb #2 because it has greatest voltage drop. or
Bulb #1 because of the greatest power dissipated.
1
Expert's answer
2020-07-02T17:14:14-0400

The illumination corresponds to power that the bulb consumes. The power is current times voltage, ot


P=IV.P=IV.

Therefore, for the three bulbs we have


P1=I1V1=IV, P2=I2V2=I42V=IV2, P3=I3V3=4IV8=IV2.P_1=I_1V_1=IV,\\\space\\ P_2=I_2V_2=\frac{I}{4}\cdot{2V}=\frac{IV}{2},\\\space\\ P_3=I_3V_3=4I\cdot\frac{V}{8}=\frac{IV}{2}.

Therefore, the first bulb is the brightest.


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