Trestoring Ktorsion0 where 0 is the twist angle and Kenios is the torsion constant of the...
The relationship between the electric force and the charge on the spheres will be determined by adjusting the voltage on the spheres while keeping the separation distance r between the spheres constant. Q = CV where C is the capacitance of a charged sphere (we'll study capacitance later, just know that Q a V) and the relationship between V2 and the twist angle is linear, what does that say about the relationship between the magnitude of charges O and the...
Look at the following graph. If the twist angle shows an inverse-square relationship to the separation distance r between charges, what does that say about the charge force F and distance r) Twist angle vs. distance between charges
(1) Two conducting hollow balls of diameter 3.75 cm are both initially charged by a bias voltage of +5000 V. When they are brought to a center-to-center distance of 10.0 cm, what is the electrostatic force between them? (2) For the torsion balance, write the relationship between the exerted force and the angle of rotation. (3) For the two conducting balls as described in problem 1, when one ball is attached to a torsion balance the wire is twisted by...
Coulomb’s Law A massless sphere of charge q1 = 0.640 µC is at the end of a spring in equilibrium as shown below in figure a. When a charge q2 = -0.410 µC is held beneath the positively charged sphere as shown in figure b, the spring stretches by a distance d = 3.60 cm from its position in figure a. When equilibrium is reestablished, the distance r between the charges is 5.20 cm. What is the spring constant of...
The relationship between the electric force F (e) and the gravitational force F (g) (or 1. weight) between two electrons. Two equal and equally charged spheres of 0.1 g of mass each are suspended from the same point by threads of 13 cm in length. Due to the repulsion between both, the spheres are separated 10 cm as seen in the graphic representation. Find the load of 2. each of them. Calculate the number of electrons that add an electric...
A molecule of DNA (deoxyribonucleic acid) is 2.18 μm long. The ends of the molecule become singly ionized: negative on one end, positive on the other. The helical molecule acts like a spring and compresses 1.06% upon becoming charged. Determine the effective spring constant of the molecule. ______N/m Two small identical conducting spheres are placed with their centers 0.59 m apart. One is given a charge of 12 ✕ 10−9 C, the other a charge of −17 ✕ 10−9 C....
6. Two point charges, g1 and q2, are located at a distance r apart in a vacuum. The electric force (1 point) between them is F. What will the electric force become if the distance between the charges is tripled? O3F OF/3 O9F 7. Two equally charged spheres of mass 1.0 g are placed 2.0 cm apart. When released, they begin (1 point) to accelerate at 414 m/s. What is the magnitude of the charge on each sphere? O75 nC...
As you discussed in Activity 2.10, Relationship 2 of the Particle Model of Matter gives the relation between the force acting between two particles and the potential energy due to this force: the force is equal to the derivative of the potential energy with respect to the particle separation. The force is always in the direction that lowers the potential energy. 3) a) The electrical force between two positively charged objects is always repulsive and becomes weaker as distance increases,...
In reality, the magnitude of the force between the two spherically symmetrical charge distributions is described by Coulomb’s law F= (kq1q2)/d^2 where k is a constant equal to 8.99×109 Nm2/C2, q1 and q2 are the magnitudes of the charges, and d is the distance between the centers of the spheres. Assuming that both spheres have equal charges, estimate the charge on each sphere, using the first data point in your table. Remember that, for the calculations to be correct, both...
Electric potential for a continuous charge distribution: Let's consider a line of charge, of length L having a uniform charge density lambda = 10^-6 C/m and length L=10 cm. Find the electric potential at point P, which is at a distance Z=5 cm. above the midpoint of the line. where In is the natural logarithm. Consider two charged conducting spheres, radii r1 and r2, with charges q1 and q2, respectively. The spheres are far away from each other but connected...