- #1
britt
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1. The Question:
A 10.0 g pith ball, carrying a charge of 1.52 μC hangs from a thread attached to a charged vertical wall carrying a surface charge density σ = 3.57 μC/m2. Find the angle that the thread makes with the vertical.
3. My attempt:
Tcosθ=mg Tsinθ=F
Canceling tension (sinθ/cosθ)=tanθ=(F/mg)
F=mgtanθ
σ=2ε0E
E=σ/2ε0=201694.9153
F=EQ=(201694.9153)(1.52E-6)=0.3065762712
F/mg= 0.0031283293 = tanθ
tan-1(0.0031283293) = 0.17924
Is this the correct angle?
A 10.0 g pith ball, carrying a charge of 1.52 μC hangs from a thread attached to a charged vertical wall carrying a surface charge density σ = 3.57 μC/m2. Find the angle that the thread makes with the vertical.
Homework Equations
3. My attempt:
Tcosθ=mg Tsinθ=F
Canceling tension (sinθ/cosθ)=tanθ=(F/mg)
F=mgtanθ
σ=2ε0E
E=σ/2ε0=201694.9153
F=EQ=(201694.9153)(1.52E-6)=0.3065762712
F/mg= 0.0031283293 = tanθ
tan-1(0.0031283293) = 0.17924
Is this the correct angle?