Two lightbulbs, one with a rated power of 100 Watts and a second rated at 25 Wat

Question

Two lightbulbs, one with a rated power of 100 Watts and a second rated at 25 Watts, have filaments made of the same Tungsten filament which has a resistivity of 847 Ohm nm at the operating temperature of 2800 C. Each coiled filament has the same length of 55 cm. Assuming that each bulb is designed to be connected up to the same 120V DC source, .
(a) What is the resistance of the filament of the 100 W lightbulb? Ohms

(b) What is the resistance of the filament of the 25 W lightbulb?
Ohm

(c) What is the diameter of the filament of the 100 W lightbulb?

Explanation / Answer

A light bulb is connected to a60 V wall socket. The current in the bulbdepends on the timet according to the relation I= (1.414 A) sin[ (314 Hz) t ].
(a) What is the frequency (in Hz) of the alternating current?

(b) What is the resistance (in Ohms) of the bulb's filament?

(c) What is the average power (in Watts) delivered to the lightbulb?
(a) What is the frequency (in Hz) of the alternating current?

(b) What is the resistance (in Ohms) of the bulb's filament?

(c) What is the average power (in Watts) delivered to the lightbulb? similar questoin and answer pls rate (a) Given, Vrms = 60 V            I= 1.414 sin 314.t =  Io sin .t Peak current,  Io= 1.414 A ;Irms = Io/1.414 = 1.00 A           = 2f = 314 Frequency,            f= /2 = 314/2x3.14 = 50 Hz (b) R =V/I =60/1.0 = 60 (c) Power, P = V.I = 60x1.0 = 60 W

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