An office worker uses an immersion heater to warm250 g of water in a light, covered, insulated cup from 20.°C to100.°C in 4.00 minutes. The heater is a Nichrome resistancewire connected to a 120 - V power supply. Assume the wire is at100.°C throughout the 4.00 - min time interval. (a) Calculatethe average power required to warm the water to 100.°C in4.00 min. (b) Calculate the required resistance in the heatingelement at 100.°C. (c) Calculate the resistance of the heatingelement at 20.°C. (d) Derive a relationship between thediameter of the wire, the resistivity at 20.°C, ρ0, the resistanceat 20.°C, R0, and the length L. (e) If L = 3.00 m, what is thediameter of the wire?
Ohm's law
Ohm’s law is a prominent concept in physics and electronics. It gives the relation between the current and the voltage. It is used to analyze and construct electrical circuits. Ohm's law states that the voltage across a conductor is directly proportional to the current flowing through it.
Path of Least Resistance
In a series of alternate pathways, the direction of least resistance is the actual or metaphorical route that offers the least resistance to forwarding motion by a given individual or body.
An office worker uses an immersion heater to warm
250 g of water in a light, covered, insulated cup from 20.°C to
100.°C in 4.00 minutes. The heater is a Nichrome resistance
wire connected to a 120 - V power supply. Assume the wire is at
100.°C throughout the 4.00 - min time interval. (a) Calculate
the average power required to warm the water to 100.°C in
4.00 min. (b) Calculate the required resistance in the heating
element at 100.°C. (c) Calculate the resistance of the heating
element at 20.°C. (d) Derive a relationship between the
diameter of the wire, the resistivity at 20.°C, ρ0, the resistance
at 20.°C, R0, and the length L. (e) If L = 3.00 m, what is the
diameter of the wire?
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