The filament of an incandescent light bulb is made of tungsten which has a thermal coefficient of resistivity of α = 4.4 x 10-3 K-1. The filament is initially at room temperature, To = 293 K. When it is connected across a V = 110 volt power supply the filament quickly heats up to T = 2900 K at which time the current flowing through the filament is I = 0.75 amps. Given: (Io= I (1+alpha(Tf-Ti)) a) Find the numerical value of the current in amps when the filament is at room temperature.

The filament of an incandescent light bulb is made of tungsten which has a thermal coefficient of resistivity of α = 4.4 x 10-3 K-1. The filament is initially at room temperature, To = 293 K. When it is connected across a V = 110 volt power supply the filament quickly heats up to T = 2900 K at which time the current flowing through the filament is I = 0.75 amps. Given: (Io= I (1+alpha(Tf-Ti)) a) Find the numerical value of the current in amps when the filament is at room temperature.

Related questions

Q: A copper wire has a resistance of 0.480 Ω at 20.0°C, and an iron wire has a resistance of 0.519 Ω at…

A: We have given Resistance of copper wire (Rc)=0.480 ohmTemperature (T)=20°CResistance of Iron wire…

Q: An automobile battery has an emf of 12.4 V and an internal resistance of 0.09 Ω. The headlights have…

A: The resistive circuits are governed by Ohm's law, which is as follows, E=IR (1) here E is the…

Q: At room temperature (27.0 °C) the resistance of a heating element is 100 Ω. What is the temperature…

A: Given,

Q: Wire C and wire D are made from different materials and have length LC = LD = 3.6 m. The resistivity…

A: Given, Wire C and wire D have length 3.6 m and diameter 1.06 mm and 0.73mm respectvily

Q: (a) A well-insulated electric water heater warms 125 kg of water from 20.0°C to 53.0°C in 33.0 min.…

Q: Current Attempt in Progress The figure shows a resistor of resistance R = 6.32 connected to an ideal…

A: Given, Resistance R =6.32Ω Emf of the battery E =14.0V Length of the wire l =22.0cm =0.22m Radius…

Q: An ideal battery produces a potential difference of 17.45V and is connected to 4 resistors as shown…

A: Resistor R2 and R3 are in parallel, so the net resistance due to them is R23=R2R3R2+R3=2.43 Ω3.39…

Q: I have some 11-gauge copper wire (diameter = 2.304 mm) that I want to run from my house to my shed.…

A: First you calculate the resistance as given thatvoltage , V=120 Vcurrent , I=0.5 Athusby ohms…

Q: The density of mobile electrons in copper metal is 8.4 x 1028 m3. Suppose that / 4.7 x 1018…

Q: A wire is 100.0 m long and 0.800 mm in diameter. The first x meters of the wire is made of copper…

A: Given: The length of the wire is 100 m. The diameter of the wire is 0.800 mm. The potential…

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

A: Given data: Voltage (V) = 120 V Current (I) = 5.00 A Mass (m) = 0.300 kg Initial temperature (Ti) =…

Q: An electric utility company supplies a customer's house from the main power lines (120 V) with two…

Q: Three resistors R₁ = 89.0 2, R₂ = 19.92, R3 = 70.0 2, and two batteries &₁ = 40.0 V, and &₂ = 356 V…

A: Given data: R1=89.0 ΩR2=19.9 ΩR3=70.0 Ωξ1=40.0 Vξ2=356 V We need to find the current flowing through…

Q: The rear window of a van is coated with a layer of ice at 0°C. The density of ice is 917 kg/m³, and…

Q: person notices a mild shock if the current along a path through the thumb and index finger exceeds…

A: V = IR

Q: A 150 W heating coil (like a light bulb) is designed to operate from 125 V. The coil is made from a…

Q: A current of 2.5 A flows through a 10 ohm resistor for 1.5 minutes. The number of electrons…

A: Current flowing through the resistor is I = 2.5 A Time of flow is t = 1.5 min

Q: In her bathroom, Mindy has an overhead heater that consists of a coiled wire made of nichrome that…

Q: The copper windings of a motor have a resistance of 46 Ω at 20oC when the motor is idle. After the…

A: Initial resistance of copper windings (r) = 46 ohm initial temperature of the copper windings (t) =…

Q: A long wire with a radius of 0.350 cm carries a current. The potential difference across a 3.00 m…

Q: A cylindrical aluminum pipe of length 1.92 m has an inner radius of 1.77 ×10-3 m and an outer radius…

Q: The room temperature resistivity of gold isp= 2.44 x 10-8 N. m.Agold wire that is 0.75 mm in…

Q: The figure gives the electric potential V(x) along a copper wire carrying uniform current, from a…

Q: Problem 2: On a cold day a battery has a terminal voltage of V = 12.21 V and an internal resistance…

A: Here We have to use some basic formula

Q: nce of 0.49 Ω at 20.0°C, and an iron wire has a resistance of 0.57 Ω at the same temperature. a)…

A: We know that we have given that the A copper wire has a resistance of 0.49 Ω at 20.0°C, and an iron…

Q: An aluminum rod has a resistance of 1.590 Ω at 20.0°C. Calculate the resistance of the rod at 102°C…

Q: The figure gives the electric potential V(x) along a copper wire carrying uniform current, from a…

A: given, vs=10×10-6v at x=0xs=3 mRadius is 2.30 mmρ=1.69×10-8…

Question

The filament of an incandescent light bulb is made of tungsten which has a thermal coefficient of resistivity of α = 4.4 x 10^-3 K^-1. The filament is initially at room temperature, T_o = 293 K. When it is connected across a V = 110 volt power supply the filament quickly heats up to T = 2900 K at which time the current flowing through the filament is I = 0.75 amps.

Given: (Io= I (1+alpha(Tf-Ti))

a) Find the numerical value of the current in amps when the filament is at room temperature.

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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

In (Figure 1) the battery has emf 45.0 V and negligible internal resistance. R₁ = 7.00 2. The current through R₁ is 1.50 A and the current through R3 = 4.50 A. Figure ww R₁ www R₂ www- R₂ < 1 of 1 ▼ What is the resistance R₂? Express your answer with the appropriate units. R₂: Submit Part B R3 11 .0 Submit μA Value What is the resistance R3 ? Express your answer with the appropriate units. Request Answer HÅ Value Units Request Answer Units ?
Wire C and wire D are made from different materials and have length Lc = Lp = 2.4 m. The resistivity and diameter of wire C are 5.0 × 10-6 Q.m and 1.32 mm, and those of wire D are 1.2 × 106 Q2•m and 0.79 mm. The wires are joined as shown in the figure and a current of 4.9 A is set up in them. What is the electric potential difference between (a) points 1 and 2 and (b) points 2 and 3? What is the rate at which energy is dissipated between (c) points 1 and 2 and (d) points 2 and 3? C ·Lc (a) Number i 4.3e-5 Units V (b) Number 2.9E-5 Units V (c) Number i 2.1e-4 Units W 2 (d) Number i 1.4e-4 Units W D -LD 3
A capacitor with a capacitance of 3.5 μF is initially uncharged. It is connected in series with a switch of negligible resistance, a resistor with a resistance of 19 kΩ, and a battery that has a potential difference of 170 V. What is the charge Q, in microcoulombs, on the capacitor when the current in the resistor equals one half its maximum value.
A person notices a mild shock if the current along a path through the thumb and index finger exceeds 78 µA. Compare the maximum possible voltage without shock across the thumb and index finger with a dry-skin resistance of 3.0 ✕ 105 and a wet-skin resistance of 2000 . dry skin V wet skin V
Consider the circuit shown below. The resistor has R= 40 ohms and the capacitor has C= 6 x10^-6 F. Initially the switch is open and there is no charge on the capacitor and no current in the resistor. At a time after the switch is closed the current in the resistor is 2 A and the charge on the capacitor is q= +3.00 x 10^-4 C. What is the emf of the battery?
Two copper wires have the same volume, but wire 2 is 25 % longer than wire 1. The ratio of the resistances of the two wires R2/R1 is ( Hint: radius will not be same) 0.82 0.91 1.2 1.56 1.0
A digital thermometer employs a thermistor as the temperature-sensing element. A thermistor is a kind of semiconductor and has a large negative temperature coefficient of resistivity α. Suppose α = -0.0503 (Co)-1 for the thermistor in a digital thermometer used to measure the temperature of a patient. The resistance of the thermistor decreases to 87.6% of its value at the normal body temperature of 37.0 oC. What is the patient's temperature?
A 580 mm long tungsten wire, with a 0.048 mm diameter circular cross section, is wrapped around in the shape of a coil and used as a filament in an incandescent light bulb. When the light bulb is connected to a battery, a current of 0.536 A is measured through the filament. Tungsten has a resistivity of 4.9 x 10-8 Ohms x m. How many electrons pass through this filament in 5 seconds? What is the resistance of this filament? What is the voltage of the battery that would produce this current in the filament?
The figure shows a resistor of resistance R = 6.102 connected to an ideal battery of emf 8 = 15.4 V by means of two copper wires. Each wire has length 21.4 cm and radius 2.20 mm. In dealing with such circuits in this chapter, we generally neglect the potential differences along the wires and the transfer of energy to thermal energy in them. Check the validity of this neglect for the circuit of the figure below. What is the potential difference across (a) the resistor and (b) each of the two sections of wire? At what rate is energy lost to thermal energy in (c) the resistor and (d) each section of wire? 8=1 Wire 1 R Wire 2
Electric current passing through a human body can be dangerous, even fatal, depending on the amount of current, the duration of the current, and the region of the body through which the current passes. However, currents less than about 0.5 mA are typically imperceptible. A current caused by a low potential difference typically travels through the outer layer of the skin. The resistance of the skin therefore determines how much current flows for a given potential difference. The resistance can be influenced by a number of factors, including whether the skin is wet or dry . For example, suppose an electric current of 89.0 µA follows a path through the thumb and index finger. When the skin is dry, the resistance along this path is 4.40 ✕ 105 Ω. What voltage (in V) is required for this current, in the case of dry skin? V When the skin is wet, the resistance is lowered to 1,950 Ω. What voltage (in V) is required for the same current, in the case of wet skin? V
Lightning is a spectacular example of electric current in a natural phenomenon. There is much variability to lightning bolts, but a typical event can transfer 10^9 J of energy across a potential difference of perhaps 5 x 10^7 V during a time interval of about 0.2 s. Use this information to estimate (a) the total amount of charge transferred between cloud and ground (b) the current in the lightning bolt (c) the average power delivered over the 0.2 s.