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The charge that flows through a point in a wire as a function of time is modeled as
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- A conductor carries a current that is decreasing exponentially with time. The current is modeled as I=I0et/ , where I0= 3.00 A is the current at timet = 0.00 s and =0.50 s is the time constant. How much charge flows through the conductor between t = 0.00 s and =3 ?arrow_forwardIf 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?arrow_forwardConsider a wire of a circular cross-section with a radius of R = 3.00mm. The magnitude of the currentdensity is modeled as J=cr2=5.00106Am4r2 . Whatis the current through the inner section of the wire from the center to r = 0.5R?arrow_forward
- An iron wire has a cross-sectional area equal to 5.50 x 10-6 m². Carry out the following steps to determine the drift speed of the conduction electrons in the wire if it carries a current of 12.0 A. (a) How many kilograms are there in 1.00 mole of iron? 0.055 kg/mol (b) Starting with the density of iron and the result of part (a), compute the molar density of iron (the number of moles of iron per cubic meter). 1.43163 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. mol/m³ (c) Calculate the number density of iron atoms using Avogadro's number. atoms/m³ (d) Obtain the number density of conduction electrons given that there are two conduction electrons per iron atom. electrons/m³ (e) Calculate the drift speed of conduction electrons in this wire. m/s Need Help? Read Itarrow_forwardA copper wire has a circular cross section with a radius of 2.36 mm. (a)If the wire carries a current of 3.68 A, find the drift speed (in m/s) of electrons in the wire. (Take the density of mobile charge carriers in copper to be n = 1.10 ✕ 1029 electrons/m3.) m/s (b)For the same wire size and current, find the drift speed (in m/s) of electrons if the wire is made of aluminum with n = 2.11 ✕ 1029 electrons/m3. m/sarrow_forwardAn iron wire has a cross-sectional area equal to 4.00 x 10-6 m2. Carry out the following steps to determine the drift speed of the conduction electrons in the wire if it carries a current of 36.0 A. (a) How many kilograms are there in 1.00 mole of iron? kg/mol (b) Starting with the density of iron and the result of part (a), compute the molar density of iron (the number of moles of iron per cubic meter). |mol/m3 (c) Calculate the number density of iron atoms using Avogadro's number. | atoms/m3 (d) Obtain the number density of conduction electrons given that there are two conduction electrons per iron atom. electrons/m3 (e) Calculate the drift speed of conduction electrons in this wire. m/s Need Help? Read Itarrow_forward
- Consider a copper wire with a diameter of 2.45 mm. (a) What is the drift speed of the electrons in the copper wire when current of 16.0 A flows through it? Assume that each copper atom contributes one free electron to the metal. The density of copper is 8.92 g/cm3. m/s (b) How does this drift speed compare to the random rms speed of an electron at 20.0°C? To make this comparison, determine the random rms speed of an electron at 20.0°C using the ideal gas model and find the ratio of the two speeds. Vrms=arrow_forwardA copper wire has a circular cross section with a radius of 3.20 mm. (a) If the wire carries a current of 2.60 A, find the drift speed of the electrons in the wire. (The density of electrons in copper is n = 8.46 ✕ 1028 electrons/m)m/s(b) All other things being equal, what happens to the drift speed in wires made of metal having a larger number of conduction electrons per atom than copper? Explain.arrow_forwardAn iron wire has a cross-sectional area equal to 2.00 x 10-6 m². Carry out the following steps to determine the drift speed of the conduction electrons in the wire if it carries a current of 8.0 A. (a) How many kilograms are there in 1.00 mole of iron? kg/mol (b) Starting with the density of iron and the result of part (a), compute the molar density of iron (the number of moles of iron per cubic meter). mol/m³ (c) Calculate the number density of iron atoms using Avogadro's number. atoms/m³ (d) Obtain the number density of conduction electrons given that there are two conduction electrons per iron atom. electrons/m³ (e) Calculate the drift speed of conduction electrons in this wire. m/sarrow_forward
- A copper wire has a circular cross section with a radius of 1.81 mm. HINT Apply the relation between electrical current and drift speed. Click the hint button again to remove this hint. (a) If the wire carries a current of 3.68 A, find the drift speed (in m/s) of electrons in the wire. (Take the density of mobile charge carriers in copper to be n = 1.10 x 1029 electrons/m³.) m/s (b) For the same wire size and current, find the drift speed (in m/s) of electrons if the wire is made of aluminum with n = 2.11 x 102⁹ electrons/m³. m/sarrow_forwardA copper wire has a circular cross section with a radius of 1.96 mm. HINT (a) If the wire carries a current of 3.68 A, find the drift speed (in m/s) of electrons in the wire. (Take the density of mobile charge to be n= 1.10 x 1029 electrons/m.) m/s (b) For the same wire size and current, find the drift speed (in m/s) of electrons if the wire is made of aluminum with n = 2.11 x 1029 electrons/m3. |m/sarrow_forwardA copper wire has a circular cross section with a radius of 1.01 mm. HINT (a) If the wire carries a current of 3.03 A, find the drift speed (in m/s) of electrons in the wire. (Take the density of mobile charge carriers in copper to be n = 1.10 x 1029 electrons/m³.) m/s (b) For the same wire size and current, find the drift speed (in m/s) of electrons if the wire is made of aluminum with n = 2.11 x 1029 electrons/m³. m/s Need Help? Read It Watch Itarrow_forward
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