The cockroach Periplaneta americana can detect a static electric field of magnitude 9.00 kN/C using their long antennae. If the excess static charge on a cockroach is modeled as point charges located at the end of each antenna, what magnitude of charge q would each antenna possess in order for each antennae to experience a force of magnitude 4.50 µN from the external electric field? Calculate q in units of nanocoulombs (nC). q = nC

A helium nucleus is composed of two protons (positively charged) and two neutrons (charge neutral). The distance between the two protons in the nucleus is 5.18E-15 m. What is the electric force between the two protons (in Newtons; use positive sign for repulsive forces and negative sign for attractive forces)?

Two charges q1 = +4.35 µC and q2 = +6.25 µC are separated by a distance of 13.17 cm. Point P is located along the line segment joining the two charges. How far is P (in cm) from q1, if the magnitude of the electric field at P due to the two charges is equal to zero? Express your answers accurate to two decimal places.

The figure below shows the electric field lines for two point charges separated by a small distance. (a) What are the signs of q1 and q2? (b) Determine the ratio q1/q2. Express your answer to 3 significant figures.

Four identical charged particles (q = +10.7 μC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L = 63.6 cm and W = 14.5 cm. 9 9 W L (a) Calculate the magnitude of the total electric force exerted on the charge at the lower left corner by the other three charges. N (b) Calculate the direction of the total electric force exerted on the charge at the lower left corner by the other three charges. ° (counterclockwise from the +x-axis) Need Help? Read It

Two identical balloons are inflated and charged in the same manner. They are tied by threads and hung from the same pivot point on the ceiling. The balloons hang down, with the threads making an angle of 14° with each other and the balloons being separated by a distance of 58 cm (center-to-center). Each balloon has a charge of - 3.5x10-7 C. Draw a free-body diagram for the balloons and consider them to act as point objects.

Red blood cells can often be charged. Consider two red blood cells with the following charges: -17.6 pc and +49.8 pC. The red blood cells are 3.31 cm apart. (1 pC = 1 × 10-12 C.) ..(a)..What.is.the magnitude of the force on each red blood cell? Enter a number. alculate the force of a charged particle on another charged particle? N Are the red blood cells attracted or repulsed by each other? attracted repulsed (b) The red blood cells come into contact with each other and then are separated by 3.31 cm. What magnitude of force does each of the red blood cells now experience? What is the net charge of the system? Assuming the cells are identical, how much charge will each have after contact? N Are the red blood cells attracted or repulsed by each other? attracted repulsed

Red blood cells often become charged and can be treated as point charges. Healthy red blood cells are negatively charged, but unhealthy cells (due to the presence of a bacteria, for example) can become positively charged. In the figure, three red blood cells are oriented such that they are located on the corners of an equilateral triangle. The red blood cell charges are A = 1.90 pC, B = 6.50 pC, and C = -4.80 pC. Given these charges, what would the magnitude and direction of the electric field be at cell A? (1 pC = 1 x 10-12 c.) Magnitude- Direction-

An electric dipole includes a charge of 3 µC and a second charge. What is the total charge of the dipole? A charge of 0.97 C is spread uniformly throughout a 46 cm rod of radius 4 mm. What are the volume and linear charge densities? C/m3 C/m L What is the value of cos e? 1² + D2 x² + D2 x² + L2 O O

A hollow conducting sphere with inner radius a=1.0m and outer radius b=2.0m is shown in figure (Figure 1). Say a charge q=7.0nC is placed at the center of the sphere denoted by O. Here m denotes meter and 1nC denotes one nano coulomb or 1×10−9C. coulomb constant is k=8.987×109N⋅m2/C2. and r is the distance from the center. (a) Potential at r=a+b2 is, V=?volt Potential Give your answer up to at least three significance digits. (b) Electric Field at r=a+b2 is E(r)=?N/C Electric field Give your answer up to at least three significance digits (c) Magnitude of the electric Field at r=a2 is E(r)=?N/C Electric field Give your answer up to at least three significance digits.