if-the-current-in-a-circuit-is-related-to-the-voltage-vv-by-the-formula-ikvv2r2i

Question

If the current in a circuit is related to the voltage, VV, by the formula: I=kVV2+R2I=\frac{kV}{$$V^2$+R^2$$}, where kk and RR are constants, find dIdV\frac{dI}{dV}.

Accepted Answer

dIdV=k(R2−V2)(V2+R2)2\frac{dI}{dV}=\frac{k\$$left(R^2-V^2$\right)}{\$$left(V^2$$+R^2$$\$$right)^2$$}

Answer

dIdV=k(R2+V2)V2−R2\frac{dI}{dV}=\frac{k\$$left(R^2+V^2$\right)}{V^2$-R^2$$}

Answer

dIdV=k(V2−R2)2\frac{dI}{dV}=\frac{k}{\$$left(V^2$-R^2$$\$$right)^2$$}

Answer

dIdV=(R2−V2)2kV2+R2\frac{dI}{dV}=\frac{\$$left(R^2-V^2$\$$right)^2$$}{kV^2$+R^2$$}

If the current in a circuit is related to the voltage, VV, by the formula: I=kVV2+R2I=\(\frac{kV}{V^2+R^2}\), where kk and RR are constants, find dIdV\(\frac{dI}{dV}\).

If the current in a circuit is related to the voltage, $V$ , by the formula: $I = \frac{k V}{V^{2} + R^{2}}$ , where $k$ and $R$ are constants, find $\frac{d I}{d V}$ .