A metallic sphere initially has a net charge of +4.0 nC. A negatively-charged rod initially has a net charge
of –6.0 nC. When the rod touches the sphere 8.2 x109 electrons are transferred to the sphere. What is the
new net charge on the sphere?
q = Ne=- (8.2•10⁹•1.6•10⁻ ¹⁹)=
=- 1.36•10⁻⁹ C.
q(sph)+q =4•10⁻⁹ - 1.36•10⁻⁹ = + 2.64•10⁻⁹ C
Well, it seems that the sphere and the rod had a shocking encounter! Let's calculate the new net charge on the sphere after this electrifying event.
The initial net charge on the metallic sphere was +4.0 nC, and the rod had a net charge of -6.0 nC. When they touched, 8.2 x 10^9 electrons were transferred from the rod to the sphere.
Now, each electron has a charge of about -1.6 x 10^-19 C (Coulombs). So, we can calculate the total charge transferred by multiplying the number of electrons by the charge of each electron:
Charge transferred = (8.2 x 10^9) * (-1.6 x 10^-19)
Now, let's find out the new net charge on the sphere by adding the charge transferred to its initial net charge:
New net charge = initial net charge + charge transferred
Go ahead, grab a calculator and crank out those numbers, and you'll have the electrifying answer!
To find the new net charge on the sphere, we need to calculate the total charge gained or lost by the sphere.
1. The initial charge on the sphere is +4.0 nC. Since the rod is negatively charged and electrons have negative charge, we need to subtract the charge transferred from the rod to the sphere.
2. The rod transfers 8.2 x 10^9 electrons to the sphere. Each electron has a charge of -1.6 x 10^-19 Coulombs.
3. To find the charge transferred, we multiply the number of electrons transferred by the charge of each electron:
Charge transferred = (8.2 x 10^9) * (-1.6 x 10^-19)
4. Now, we add the initial charge on the sphere to the charge transferred from the rod:
New net charge = Initial charge + Charge transferred
Let's calculate the new net charge on the sphere:
Initial charge = +4.0 nC
Charge transferred = (8.2 x 10^9) * (-1.6 x 10^-19)
New net charge = 4.0 nC + [(8.2 x 10^9) * (-1.6 x 10^-19)]
The final answer depends on the calculated value of the charge transferred. Please provide the exact value of the charge transferred so that I can give you the accurate new net charge on the sphere.
To determine the new net charge on the metallic sphere, we need to calculate the final charge by considering the initial charges and the transfer of electrons.
Let's break down the problem:
1. Start with the initial net charges:
- The metallic sphere initially has a net charge of +4.0 nC.
- The negatively-charged rod initially has a net charge of -6.0 nC.
2. Calculate the total charge transferred:
- We are told that 8.2 x 10^9 electrons are transferred to the sphere.
- Each electron carries a charge of -1 elementary charge, which is equal to -1.6 x 10^-19 C.
- To find the total charge transferred, multiply the number of electrons transferred by the charge per electron: (8.2 x 10^9) * (-1.6 x 10^-19 C).
3. Add the charges:
- Add the charge transferred to the initial net charge of the sphere to find the final net charge.
Let's perform the calculations:
Total charge transferred = (8.2 x 10^9 electrons) * (-1.6 x 10^-19 C)
= -1.31 x 10^-9 C
Final net charge on the sphere = Initial net charge of the sphere + Total charge transferred
= +4.0 nC + (-1.31 x 10^-9 C)
The result will be in coulombs (C).