The potential (in volts ) of a charge distribution is given by
$V(z)\, = \,30 - 5{z^2}for\,\left| z \right| \le 1\,m$
$V(z)\, = \,35 - 10\,\left| z \right|for\,\left| z \right| \ge 1\,m$
$V(z)$ does not depend on $x$ and $y.$ If this potential is generated by a constant charge per unit volume $\rho _0$ (in units of $\varepsilon _0$ ) which is spread over a certain region, then choose the correct statement
The potential (in volts ) of a charge distribution is given by
$V(z)\, = \,30 - 5{z^2}for\,\left| z \right| \le 1\,m$
$V(z)\, = \,35 - 10\,\left| z \right|for\,\left| z \right| \ge 1\,m$
$V(z)$ does not depend on $x$ and $y.$ If this potential is generated by a constant charge per unit volume $\rho _0$ (in units of $\varepsilon _0$ ) which is spread over a certain region, then choose the correct statement
- [JEE MAIN 2016]
- A
${\rho _0}\, = \,20\,{\varepsilon _0}$ in the entire region
- B
${\rho _0}\, = \,10\,{\varepsilon _0}$ for $\left| z \right|\, \le 1\,\,m$ and $P_0 = 0$ elsewhere
- C
${\rho _0}\, = \,20\,{\varepsilon _0}$ for $\left| z \right|\, \le 1\,\,m$ and $P_0 = 0$ elsewhere
- D
${\rho _0}\, = \,40\,{\varepsilon _0}$ in the entire region
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