Final Velocity of a Rough Block on a Fixed Wedge Calculator Final Velocity of a Rough Block on a Fixed Wedge Calculator Calculate the final velocity of a rough block sliding down a fixed wedge using energy conservation: \[ v = \sqrt{\frac{2gh\,(1 – \mu_k\,\cot\theta)}{}} \] where \(h\) is the height, \(\theta\) is the wedge angle, […]
Read MoreFinal Velocity of a Solid Sphere Rolling Down a Height Calculator Final Velocity of a Solid Sphere Rolling Down a Height Calculator Calculate the final velocity of a solid sphere rolling without slipping down a height using: \[ v = \sqrt{\frac{10\,g\,h}{7}} \] where \(h\) is the height and \(g\) is the gravitational acceleration. * Ensure […]
Read MoreKinetic Friction Calculator Kinetic Friction Calculator Calculate the kinetic friction force using the equation: \[ F_k = \mu_k \times N \] where \(\mu_k\) is the coefficient of kinetic friction and \(N\) is the normal force. * Enter the coefficient (dimensionless) and the normal force (in newtons). Step 1: Enter Parameters Coefficient of Kinetic Friction, \( […]
Read MoreProjectile on an Incline (Downward Motion) Calculator Projectile on an Incline (Downward Motion) Calculator Calculate key parameters for a projectile launched downward on an incline (with the projectile moving downward relative to the plane). The equations used are: Time of Flight: \[ t = \frac{2\,v_0\,\sin\left(\phi-\theta\right)}{g\,\cos\phi} \] Range along the Incline: \[ R = \frac{2\,v_0^2\,\cos\theta\,\sin\left(\phi-\theta\right)}{g\,\cos^2\phi} \] […]
Read MoreProjectile on an Incline Calculator Projectile on an Incline Calculator Calculate key parameters for a projectile launched on an incline (with the projectile moving upward relative to the plane). The equations used are: Time of Flight: \[ t = \frac{2\,v_0\,\sin\left(\theta-\phi\right)}{g\,\cos\phi} \] Range along the incline: \[ R = \frac{2\,v_0^2\,\cos\theta\,\sin\left(\theta-\phi\right)}{g\,\cos^2\phi} \] Maximum height above the incline: […]
Read MoreStatic Friction Calculator Static Friction Calculator Calculate the maximum static friction force using the equation: \[ F_s = \mu_s \times N \] where \(\mu_s\) is the coefficient of static friction and \(N\) is the normal force. * Enter the coefficient (dimensionless) and the normal force (in newtons). Step 1: Enter Parameters Coefficient of Static Friction, […]
Read MoreTerminal Velocity using Stoke’s Law Calculator Terminal Velocity Calculator (Stoke’s Law) Calculate the terminal velocity of a spherical particle in a viscous fluid using: \[ v_t = \frac{2\,r^2\,(\rho_p – \rho_f)\,g}{9\,\mu} \] where: – \(r\) is the particle radius (m), – \(\rho_p\) is the particle density (kg/m³), – \(\rho_f\) is the fluid density (kg/m³), – \(g\) […]
Read MoreV₍CE(sat)₎ Calculator Using Ebers–Moll Model for a BJT V₍CE(sat)₎ Calculator Using Ebers–Moll Model Calculate the collector–emitter saturation voltage using the simplified Ebers–Moll model: \[ V_{CE(sat)} \approx V_T \ln\left(\frac{I_{CS}}{\alpha_F\,I_{ES}}\right) \] where \(V_T\) is the thermal voltage, \(I_{ES}\) is the emitter saturation current, \(I_{CS}\) is the collector saturation current, and \(\alpha_F\) is the forward common‐base current gain. […]
Read MoreJunction Capacitance / Depletion Layer Capacitance Calculator Junction Capacitance / Depletion Layer Capacitance Calculator Calculate the junction capacitance using the equation: \[ C = A \sqrt{\frac{q\,\epsilon_s\,N}{2\,(V_{bi}+V_R)}} \] where: – \( \epsilon_s \) is the semiconductor permittivity (F/m), – \( A \) is the junction area (m²), – \( N \) is the doping concentration (m\(^{-3}\)), […]
Read MoreCommon Emitter Current Gain (β) Calculator Common Emitter Current Gain (β) Calculator Calculate the common emitter current gain using the equation: \[ \beta = \frac{I_C}{I_B} \] where \(I_C\) is the collector current and \(I_B\) is the base current. * Enter currents in amperes (A). Step 1: Enter Parameters Collector Current, \( I_C \) (A): Example: […]
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