Sunday

March 29, 2015

March 29, 2015

Posted by **lindsay** on Thursday, June 7, 2012 at 6:35pm.

What is the force on a fifth charge placed in the centre of this square?

Does the sign of the fifth charge affect the magnitude or direction of force on it?

- physics -
**Elena**, Friday, June 8, 2012 at 4:16amMake the drawing:

charge #1 – at the left bottom corner,

charge #2 – at the left upper top cirner,

charge #3 – at the right top corner,

charge #4 – at the right bottom corner.

Forces actting on the Charge #4 are:

from #1 towards #4 F1=k•q1•q2/a²=k•q²/a² ,

from #3 towards #4 F3 = k•q1•q2/a²=k•q²/a² ,

from #2 towards #4 F2 = k•q1•q2/(a√2)²=k•q²/2•a² ,

F13=sqrt(F1² +F3²)= k•√2•q²/a².

F123= F13+F2 =k•√2•q²/a² + k•q²/2•a² =

= k•q²/ a•(√2+0.5) =9•10^9•10^-12•1.91/0.02 =0.86 N.

The equal net forces act on each charge.

The electric field strength is zero in the center of this square, therefore, the force acts on each charge in the center is zero as well.

**Answer this Question**

**Related Questions**

physics - A square with side lengths of 1.05 m has a charge of 8.00 mC at each ...

physics - A charge of 4.00 mC is placed at each corner of a square 1.05 m on a ...

Physics Superpostion Principle - four charged particles are placed so that each ...

physics - A charge of 6.00mC is placed at each corner of a square 0.100 m on a ...

Physics - On the lower left corner of a square is a fixed charge qLL = 1.5x10^-9...

physics - A 6 mC charge experiences a force of 6 N directed north. What is the ...

Physics - Two point charges, one of +3.00 10-5 C and the other -5.00 10-5 C are ...

Physics - A charge of +444 μC is fixed at the center of a square that is 0....

physics - A charge of +355 μC is fixed at the center of a square that is 0....

science physics - 1.) What is the Magnitude of the electrostatic force on a +5 C...