Antenna Efficiency Calculator Antenna Efficiency Calculator Calculate the antenna efficiency using the formula: \[ \eta = \frac{R_r}{R_r + R_l} \times 100\% \] * Enter the radiation resistance \( R_r \) (Ω) and loss resistance \( R_l \) (Ω). Step 1: Enter Parameters Radiation Resistance, \( R_r \) (Ω): Example: 50 Ω Loss Resistance, \( R_l […]
Read MoreRadar Range Calculator Radar Range Calculator Calculate the maximum radar range using the radar range equation: \[ R = \left( \frac{P_t\,G^2\,\lambda^2\,\sigma}{(4\pi)^3\,S_{\min}} \right)^{\frac{1}{4}} \] * Enter the transmitted power \(P_t\) (W), antenna gain \(G\), wavelength \(\lambda\) (m), radar cross-section \(\sigma\) (m²), and minimum detectable signal \(S_{\min}\) (W). Step 1: Enter Parameters Transmitted Power, \( P_t \) […]
Read MoreReduction Potential using Nernst Equation Calculator Reduction Potential Calculator Calculate the reduction potential using the Nernst Equation: \[ E = E^\circ – \frac{RT}{nF}\ln Q \] * Enter the standard reduction potential \( E^\circ \) (V), number of electrons \( n \), reaction quotient \( Q \), and temperature \( T \) (K). Step 1: Enter […]
Read MorepH Calculator for Strong & Weak Monoprotic Acids pH Calculator Compute pH for strong acids or weak monoprotic acids Step 1: Input Parameters Strong Acid Weak Acid Concentration (M): Acid Dissociation Constant (Ka): Calculate pH Result Recalculate Strong acid: \( \text{pH} = -\log[H^+] = -\log(c) \) Weak monoprotic acid: \( [H^+] = \frac{-K_a + \sqrt{K_a^2 […]
Read MoreSolubility Product (Kₛₚ) Calculator Solubility Product (Kₛₚ) Calculator Calculate the solubility product (Kₛₚ) for an ionic compound using the molar solubility and stoichiometry. * Enter the molar solubility in mol/L and the stoichiometric coefficients (positive integers). Step 1: Enter Parameters Molar Solubility \( s \) (mol/L): Example: 0.01 mol/L Stoichiometric Coefficient for Cation (\( x […]
Read MoreGamma Function Calculator Gamma Function Calculator Calculate the Gamma function using the formula: \[ \Gamma(z) = \int_0^\infty t^{z-1} e^{-t}\, dt = \frac{\Gamma(x)\,\Gamma(y)}{\Gamma(x+y)} \quad (\text{for related Beta functions}) \] (Here, we use the Lanczos approximation for \(\Gamma(z)\).) * Enter a positive value for \( z \). Step 1: Enter Parameter Value \( z \): Example: 2.5 […]
Read MoreBeta Function Calculator Beta Function Calculator Calculate the Beta function using the formula: \[ B(x,y) = \frac{\Gamma(x)\,\Gamma(y)}{\Gamma(x+y)} \] * Enter positive values for \( x \) and \( y \). Step 1: Enter Parameters x: Example: 2 y: Example: 3 Calculate Beta Function Calculated Beta Function Recalculate Formula: \( B(x,y) = \frac{\Gamma(x)\,\Gamma(y)}{\Gamma(x+y)} \) Practical Example: […]
Read MoreAverage Acceleration Calculator Calculate the average acceleration using the equation: \[ a_{\text{avg}} = \frac{v_f – v_i}{t} \] where \(v_i\) is the initial velocity, \(v_f\) is the final velocity, and \(t\) is the time interval. * Enter all values in SI units: velocity in m/s, time in seconds. Step 1: Enter Parameters Initial Velocity, \( v_i […]
Read MoreCentrifugal Force Calculator Centrifugal Force Calculator Calculate the centrifugal force acting on an object in a rotating system using: \[ F = m\,\omega^2\,r \] where \( m \) is the mass (kg), \( \omega \) is the angular velocity (rad/s), and \( r \) is the radius (m). * Enter all values in SI units. […]
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