An electric heating coil of resistance R is immersed in 1 kg of water at 20 °C. The coil is connected in series with a resistor Y across a 240 V mains supply. The temperature of the water rises to the boiling point in 10 minutes. When Y is disconnected, the time taken for the 1 kg of water at the same temperature to boil is reduced to 6 minutes. Neglecting all heat losses, calculate the resistance R, of Y. | Specific heat capacity of water = 4200 J kg¯ K")

An electric heating coil of resistance R is immersed in 1 kg of water at 20 °C. The coil is connected in series with a resistor Y across a 240 V mains supply. The temperature of the water rises to the boiling point in 10 minutes. When Y is disconnected, the time taken for the 1 kg of water at the same temperature to boil is reduced to 6 minutes. Neglecting all heat losses, calculate the resistance R, of Y. | Specific heat capacity of water = 4200 J kg¯ K")

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter20: Electric Current, Resistance, And Ohm's Law

Section: Chapter Questions

Problem 60PE: Integrated Concepts (a) What energy is dissipated by a lightning bolt having a 20,000-A current, a...

See similar textbooks

Related questions

Q: 1000 V 후 3000 $2 10.5 HF

Q: A person with body resistance between his hands of 13 kΩ accidentally grasps the terminals of a 15…

Q: If the battery in the circuit below is 7.16V, resistor R1=331.15, and resistor R2=51.49N, what is…

Q: Three resistors of resistances R1 = 14.8 Ω, R2 = 70.3 Ω, and R3 = 39.7 Ω are connected in parallel.…

Q: Nichrome wire (ρ = 150 x 10-8 Ω.m) of cross-sectional radius 0.156 mm is to be used in winding a…

A: Given, Area, A=0.156 mm=0.000156 m, current, I= 2.35 A, voltage, V= 220 V, and resistivity of…

Q: You set up a simple circuit by connecting two resistors in series with a battery. The resistance of…

A: Given data: Two resistors are connected in series R1 = 240 Ω R2 = 321 Ω Itotal = 0.28 A

Q: The heating element of a coffeemaker operates at 120 V and carries a current of 5.00 A. Assuming the…

A: Given data:The operating voltage of a coffee maker is V = 120 V.The current carried by the coffee I…

Q: An idealized ammeter and voltmeter are comnected to the circuit. When switch S in Figure is open,…

Q: An initially uncharged 4.39 μF4.39 μF capacitor and a 7.65 kΩ7.65 kΩ resistor are connected in…

A: Given: The capacitance of capacitor C = 4.39 μF. The resistance of resistor R = 7.65 kΩ. Emf of…

Q: The heating element of a coffeemaker operates at 120 V and carries a current of 2.50 A. Assuming the…

Q: The resistance of the skin on a person's finger is typically about 10,000 N. How much voltage would…

Q: Two identical resistors of R0 = 71 Ω are connected head-to-tail. (a) Express the resistance R0 of…

A: a)The relation between resistance, resistivitylength & cross sectional area isRo=ρLA

Q: A 5.5-kW water heater operates at 240 V. Should the heater circuit have a 20A or a 30A circuit…

Q: 0. An electrie power station is producing 1,40 x 10 W of poser tat is to be A to na town located…

Q: Consider the circuit with R = 177 kQ and C = 477 pF. If the capacitor is initially uncharged, what…

Q: What are the expected readings of the following in the figure below? (R = 7.10 0, AV = 6.70 V) A AV…

Q: . A resistor operated at 120 V DC is rated at 1.40 kW. a) What is the normal operating current…

Q: A 300W, 130 V incandescent lamp has a filament having a temperature coefficient of resistance equal…

Q: What current ? is needed to transmit 105 MW of power over a transmission line held at a voltage of…

Q: A 391-Ω resistor, an uncharged 4.15-μF capacitor, and a 12.3-V emf are connected in series. How…

A: In this problem, we are dealing with an RC circuit, which is a circuit composed of resistors and…

Q: At 20°C, the carbon resistor in an electric circuit connected to a 5.7-V battery has a resistance of…

Q: The resistance of an electric heater is 90 Ω when connected to 120 V. How much energy does it use…

A: The power of heater is P=V2R=120 V290 Ω=160 W

Concept explainers

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.

Question

Define electrical power.Lus
An electric heating coil of resistance R is immersed in 1 kg of
water at 20 °C. The coil is connected in series with a resistor
Y across a 240 V mains supply. The temperature of the water
rises to the boiling point in 10 minutes. When Y is disconnected,
the time taken for the 1 kg of water at the same temperature to
boil is reduced to 6 minutes. Neglecting all heat losses, calculate
the resistance R, of Y.
| Specific heat capacity of water = 4200 J kg' K"]
[7 ma
State and exnlain th

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A 20.00-V battery is used to supply current to a 10-k resistor. Assume the voltage drop across any wires used for connections is negligible, (a) What is the current through the resistor? (b) What is the power dissipated by the resistor? (c) What is the power input from the battery; assuming all the electrical power is dissipated by the resistor? (d) What happens to the energy dissipated by the resistor?
Integrated Concepts (a) Assuming 95.0% efficiency for the conversion of electrical power by the motor, what current must the 12.0-V batteries of a 750-kg electric car be able to supply: (a) To accelerate from rest to 25.0 m/s in 1.00 min? (b) To climb a 2.00 102-m- high hill in 2.00 min at a constant 25.0-m/s speed while exerting 5.00 102 N of force to overcome air resistance and friction? (c) To travel at a constant 25.0-m/s speed, exerting a 5.00 102 N force to overcome air resistance and friction? See Figure 20.44.
When does an incandescent lightbulb carry more current? (a) immediately after it is turned on and the glow of the metal filament is increasing or (b) after it has been on for a few milliseconds and the glow is steady?
Integrated Concepts (a) An immersion heater utilizing 120 V can raise the temperature of a 1.00 102 -g aluminum cup containing 350 g of water from 20.0°C to 95.0°C in 2.00 min. Find its resistance, assuming it is constant during the process. (b) A lower resistance would shorten the heating time. Discuss the practical limits to speeding the heating by lowering the resistance.
The label on a battery-powered radio recommends the use of a rechargeable nickel-cadmium cell (nicads), although it has a 1.25-V emf, whereas an alkaline cell has a 1.58-V emf. The radio has a 3.20 resistance.(a) Draw a circuit diagram of the radio and its battery. Now, calculate the power delivered to the radio (b) when using a nicad cells, each having an internal resistance of 0.0400 , and (c) when using an alkaline cell, having an internal resistance of 0.200 . (d) Does this differenceseem significant, considering that the radio's effective resistance is lowered when its volume is aimed up?
A cauterizer, used to stop bleeding in surgery, puts out 2.00 mA at 15.0 kV. (a) What is its power output? (b) What is the resistance of the path?
(a) During surgery, a current as small as 20.0A applied directly to the heart may cause ventricular fibrillation. If the resistance of the exposed heart is 300 what is the smallest voltage that poses thisdanger? (b) Does your answer imply that special electrical safetyprecautions are needed?
Power P0 = I0 V0 is delivered to a resistor of resistance R0. If the resistance is doubled (Rnew = 2R0) while the voltage is adjusted such that the current is constant, what are the ratios (a) Pnew/P0 and (b) Vnew/V0? If, instead, the resistance is held constant while Pnew = 2P0, what are the ratios (c) Vnew/V0, and (d) Inew/I0?
Currents of approximately 0.06 A can be potentially fatal. Currents in that range can make the heart fibrillate (beat in an uncontrolled manner). The resistance of a dry human body can be approximately 100 k . (a) What voltage can cause 0.06 A through a dry human body? (b) When a human body is wet, the resistance can fall to 100 . What voltage can cause harm to a wet body?
Explain why R=R0(1 + a?T) for the temperature variation of the resistance R of an object is not as accurate as P=P0(1 + a?T) which gives the temperature variation of resistivity P.
In the circuit of Figure P18.22, the current I1 is 3.0 A and the values of and R are unknown. What are the currents I2 and I3? Figure P18.22
If the current carried by a conductor is doubled, what happens to (a) the charge carrier density, (b) the current density, (c) the electron drift velocity, and (d) the average time interval between collisions?