Suppose that a circular parallel-plate capacitor has a (Ro)radius of 3cm and a separation distance of 5mm. A sinusoidal potential difference V=Vosin(2∗pi∗f∗t)is applied across the plates, where Vo=150Vandf=60Hz. In the region between the plates, show that the magnitude of the induced magnetic field is given by: B=Bo(R)cos(2∗pi∗f∗t), where R is the radial distance from the capacitor’s central axis.

Required:
Plot B0(R) in tesla for the range 0 ≤ R ≤ 10cm.

Scientists use laser range-finding to measure the distance to the moon with great accuracy. a brief laser pulse is fired at the moon, then the time interval is measured until the "echo" is seen by a telescope. a laser beam spreads out as it travels because it diffracts through a circular exit as it leaves the laser. in order for the reflected light to be bright enough to detect, the laser spot on the moon must be no more than 1.0 km in diameter. staying within this diameter is accomplished by using a special large-diameter laser. part a if λ = 540nm , what is the minimum diameter of the circular opening from which the laser beam emerges? the earth-moon distance is 384,000 km. express your answer to two significant figures and include the appropriate units.

The volume of a gas is halved during an adiabatic compression that increases the pressure by a factor of 2.5. what is the specific heat ratio? show the math steps .

Use the right-hand rule for magnetic force to determine the charge on the moving particle. this is a charge.