t. Particles in a Gold Ring. You have a pure C4-karat) gold ring with mass 1408d
ID: 1874029 • Letter: T
Question
t. Particles in a Gold Ring. You have a pure C4-karat) gold ring with mass 1408d has an atoemic mass of 197 g'mol and an atomic mumber of 79. (a) How many protons are the mg? What is their Ital positive charge? (b) If the ring carries no net charge, how many electroes are in it? 2 Three negative point charges lie along a line as shown in the following figure (di -s.15 9--490 pC) Find the magnitude and direction of the electric field this comhination of charges produces at point P, which lies-6.35 cm from the -2.00-uC charge measured perpendicular to the line connecting the three charges. (Take the +x direction to be to the right. Magnitude? Direction? 3. A hollow, conducting sphere with an outer radius of 0.295 m and an inner radius of 0.200 m has a uniform surface charge density of +6.37 x10 C/m2. A charge of -0.370 HC is now introduced into the cavity inside the sphere. (a) What is the new charge density orn the outside of the sphere? (b) Calculate the strength of the electrie field just outside the sphere. (c) What is the electric flux through a spherical surface just inside the inner surfâace of the sphere? The electric field due to an infinite line of charge is perpendicular to the line and has magnitude E 1,2mor. Consider an imaginary cylinder with radius r 0.220 m and length l = 0.310 m that has an infinite line of positive charge running along its axis. The charge per unit length on the line is = 5.00 pCm. (a) What is the electric flux through the cylinder due to this infinite line of charge? (b) What is the flux through the cylinder if its radius is increased to r 0.440 m? (c) What is the flux through the cylinder if its length is increased to 1-0.620 m? An infinitely long line of charge has linear charge density 5.00 x102 C/m. A proton mass 1.67 x10 kg, charge +1.60 x109 C) is 18.0 cm from the line and moving firectly toward the line at 1.20 x10 m/s. How close does the proton get to the line of harge? charge of 34.0 nC is placed in a uniform electric field that is directed vertically upward d that has a magnitude of 3.00 104 V/m. (a) What work is done by the electric force hen the charge moves 0.460 m to the right? (b) What work is done by the electric force en the charge moves 0.670 m upward? (c) What work is done by the electric force en the charge moves 2.70 m at an angle of 45.0° downward from the horizontal? e dielectric to be used in a parallel-plate capacitor has a dielectric constant of 3.20 and ielectric strength of 1.60 x10' V/m. The capacitor is to have a capacitance of 1.71 x10 and must be able to withstand a maximum potential difference of 4900 V. What is the imum area the plates of the capacitor may have?Explanation / Answer
Given
Gold ring with mass m = 14 g
atomic mass of gold is M.W = 197 g/mol
by definition the 1 mole = Wt/M.W = 10 /197 = 0.0507614213198 moles
we know that from Avagadro's law one mole of substance contains 6.023*10^23 molecules
here these are protons and
given the ring carries no net charge so the number of positive charges = number of negative charges
now 0.0507614213198 moles contains , 0.0507614213198*6.023*10^23 protons = 3.057360*10^22 protons = 3*10^22 protons
and equal number of electrons will present because both proton and electron has same charge in magntitude but the polarity is different
so that the net charge is zero
so the number of protons = 3*10^22 = number of electrons
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