Moving Charges ...

In Figure, assume $$I_1=2.00 \,A$$ and $$I_2=6.00 \,A$$. What is the relationship between the magnitude $$F_1$$ of the force exerted on wire $$1$$ and the magnitude $$F_2$$ of the force exerted on wire $$2$$?

Classify each of the following statements as a characteristic.
The magnitude of the force depends on the charged object’s direction of motion.

A proton moving horizontally enters a region where a uniform magnetic field is directed perpendicular to the protons velocity as shown in Figure. After the proton enters the field, does it.

Classify each of the following statements as a characteristic.
The force exerted on a charged object is proportional to its speed.

In the velocity selector shown in Figure, electrons with speed $$v =\dfrac{ E}{B}$$ follow a straight path. Electrons moving significantly faster than this speed through the same selector will move along what kind of path?

Classify each of the following statements as a characteristic.
The force exerted on a moving charged object is zero.

An electron is projected into a magnetic field of $$B = 5\times 10^{-3} T$$ and rotates in a circle of radius of $$R = 3\ mm$$. Find the work done by the force due to magnetic field.

A current of i ampere is flowing through each ofthe bent wires as shown the magnitude and direction of magnetic field at O is

When a particle of charge q is projected with uniform speed u along x - axis of the Cartesian coordinate system $$\left ( \hat{i},\hat{j},\hat{k} \right )$$ in the presence of a magnetic field of induction $$\vec{B}$$, the force on q is $$\vec{F}=\frac{qu\vec{B}}{2}\hat{j}$$ and when the particle is projected along y - axis with same speed, the force $$\vec{F}=\frac{qu\vec{B}}{2}\left ( -\hat{i}+\sqrt{3}\hat{k} \right )$$. The magnetic field $$\vec{B}$$ is

A charged particle q is moving with a velocity $$\vec{v_{1}}=2\hat{i}m/s$$  at a point in a magnetic field $$\vec{B}$$ and experiences a force $$\vec{F_{1}}=q(\hat{k}-2\hat{j})N.$$ If the same charge moves with velocity $$\vec{v_{2}}=2\hat{j}m/s$$ from the same point in that magnetic field and experiences a force $$\vec{F_{2}}=q(2\hat{i}+\hat{k})N$$,  the magnetic induction at that point will be :